{"id":220,"date":"2023-08-04T00:20:17","date_gmt":"2023-08-04T00:20:17","guid":{"rendered":"https:\/\/statorials.org\/pl\/tablica-rozkladu-normalnego\/"},"modified":"2023-08-04T00:20:17","modified_gmt":"2023-08-04T00:20:17","slug":"tablica-rozkladu-normalnego","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/tablica-rozkladu-normalnego\/","title":{"rendered":"Tabela rozk\u0142adu normalnego"},"content":{"rendered":"<p>W tym artykule znajdziesz tablic\u0119 rozk\u0142adu normalnego, a dodatkowo kilka instrukcji, jak korzysta\u0107 z tablicy rozk\u0142adu normalnego. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"valores-de-la-tabla-de-la-distribucion-normal\"><\/span> Warto\u015bci z tabeli rozk\u0142adu normalnego<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Poni\u017csza tabela przedstawia skumulowane warto\u015bci prawdopodobie\u0144stwa rozk\u0142adu normalnego (lewy ogon). Nale\u017cy pami\u0119ta\u0107, \u017ce warto\u015bci w tej tabeli odpowiadaj\u0105 standardowemu rozk\u0142adowi normalnemu, dlatego aby skorzysta\u0107 z tabeli nale\u017cy najpierw <a href=\"https:\/\/statorials.org\/pl\/typizacja\/\">wprowadzi\u0107 zmienn\u0105<\/a> . <\/p>\n<figure class=\"wp-block-table\">\n<table>\n<tbody>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> z<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,00<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,01<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,02<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,03<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,04<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,05<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,06<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,07<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,08<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,09<\/th>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,0<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5040<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5080<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5120<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5160<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5199<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5239<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5279<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5319<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5359<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,1<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5398<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5438<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5478<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5517<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5557<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5596<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5636<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5675<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5714<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5753<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,2<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5793<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5832<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5871<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5910<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5948<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,5987<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6026<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6064<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6103<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6141<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,3<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6179<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6217<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6255<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6293<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6331<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6368<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6406<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6443<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6480<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6517<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,4<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6554<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6591<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6628<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6664<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6700<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6736<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6772<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6808<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6844<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6879<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,5<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6915<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6950<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,6985<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7019<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7054<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7088<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7123<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7157<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7190<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7224<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,6<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7257<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7291<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7324<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7357<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7389<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7422<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7454<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7486<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7517<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7549<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,7<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7580<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7611<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7642<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7673<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7704<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7734<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7764<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7794<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7823<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7852<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,8<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7881<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7910<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7939<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7967<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,7995<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8023<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8051<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8078<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8106<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8133<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,9<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8159<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8186<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8212<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8238<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8264<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8289<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8315<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8340<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8365<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8389 <\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"><\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,00<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,01<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,02<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,03<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,04<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,05<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,06<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,07<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,08<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,09<\/th>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1,0<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8413<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8438<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8461<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8485<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8508<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8531<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8554<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8577<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8599<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8621<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1.1<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8643<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8665<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8686<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8708<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8729<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8749<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8770<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8790<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8810<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8830<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1.2<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8849<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8869<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8888<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8907<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8925<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8944<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8962<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8980<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,8997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9015<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1.3<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9032<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9049<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9066<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9082<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9099<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9115<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9131<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9147<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9162<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9177<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1.4<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9192<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9207<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9222<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9236<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9251<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9265<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9279<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9292<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9306<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9319<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1,5<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9332<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9345<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9357<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9370<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9382<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9394<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9406<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9418<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9429<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9441<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1.6<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9452<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9463<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9474<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9484<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9495<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9505<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9515<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9525<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9535<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9545<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1.7<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9554<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9564<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9573<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9582<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9591<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9599<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9608<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9616<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9625<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9633<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1.8<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9641<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9649<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9656<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9664<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9671<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9678<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9686<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9693<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9699<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9706<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 1.9<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9713<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9719<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9726<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9732<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9738<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9744<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9750<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9756<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9761<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9767 <\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"><\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,00<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,01<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,02<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,03<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,04<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,05<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,06<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,07<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,08<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,09<\/th>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 2.0<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9772<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9778<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9783<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9788<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9793<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9798<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9803<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9808<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9812<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9817<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 2.1<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9821<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9826<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9830<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9834<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9838<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9842<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9846<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9850<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9854<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9857<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 2.2<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9861<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9864<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9868<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9871<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9875<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9878<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9881<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9884<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9887<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9890<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 23<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9893<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9896<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9898<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9901<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9904<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9906<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9909<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9911<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9913<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9916<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 2.4<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9918<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9920<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9922<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9925<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9927<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9929<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9931<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9932<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9934<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9936<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 2.5<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9938<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9940<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9941<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9943<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9945<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9946<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9948<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9949<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9951<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9952<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 2.6<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9953<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9955<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9956<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9957<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9959<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9960<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9961<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9962<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9963<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9964<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 2.7<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9965<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9966<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9967<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9968<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9969<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9970<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9971<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9972<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9973<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9974<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 2.8<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9974<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9975<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9976<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9977<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9977<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9978<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9979<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9979<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9980<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9981<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 2.9<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9981<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9982<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9982<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9983<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9984<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9984<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9985<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9985<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9986<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9986 <\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"><\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,00<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,01<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,02<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,03<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,04<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,05<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,06<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,07<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,08<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> 0,09<\/th>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9987<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9987<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9987<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9988<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9988<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9989<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9989<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9989<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9990<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9990<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3.1<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9990<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9991<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9991<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9991<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9992<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9992<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9992<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9992<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9993<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9993<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3.2<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9993<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9993<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9994<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9994<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9994<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9994<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9994<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9995<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9995<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9995<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3.3<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9995<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9995<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9995<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9996<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9996<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9996<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9996<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9996<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9996<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3.4<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9997<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3.5<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3.6<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9998<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3.7<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3.8<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999<\/td>\n<\/tr>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> 3.9<\/th>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1,0000 <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-usar-la-tabla-de-la-distribucion-normal\"><\/span> Jak korzysta\u0107 z tabeli rozk\u0142adu normalnego<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Aby skorzysta\u0107 z tabeli rozk\u0142adu normalnego, nale\u017cy wykona\u0107 nast\u0119puj\u0105ce kroki:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Standaryzuj (lub typizuj) warto\u015b\u0107 rozk\u0142adu normalnego. Aby to zrobi\u0107, musimy odj\u0105\u0107 warto\u015b\u0107 minus \u015brednia rozk\u0142adu normalnego, a nast\u0119pnie podzieli\u0107 przez odchylenie standardowe rozk\u0142adu normalnego.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Do tabeli nale\u017cy wej\u015b\u0107 poprzez wiersz odpowiadaj\u0105cy cz\u0119\u015bci ca\u0142kowitej i pierwszemu miejscu po przecinku warto\u015bci uzyskanej w poprzednim kroku.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Do tabeli nale\u017cy wprowadza\u0107 kolumn\u0119 drugiego miejsca po przecinku uzyskanej warto\u015bci.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Skumulowana warto\u015b\u0107 prawdopodobie\u0144stwa to warto\u015b\u0107 znaleziona na styku wiersza i kolumny z poprzednich krok\u00f3w.<\/span><\/li>\n<\/ol>\n<p> Aby zobaczy\u0107 przyk\u0142ad u\u017cycia tabeli rozk\u0142adu normalnego, poni\u017cej znajduje si\u0119 skumulowane prawdopodobie\u0144stwo warto\u015bci mniejszej ni\u017c 33 w rozk\u0142adzie normalnym ze \u015bredni\u0105 28 i odchyleniem standardowym 7.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4f3c4fbc328c9060c549f1e4276157d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N(28,7)\\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ P[X\\leq 33]= \\ \\color{orange}\\bm{?}\\color{black} \" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"412\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Aby skorzysta\u0107 z tabeli rozk\u0142adu normalnego, musimy najpierw wykona\u0107 proces wpisywania, aby uzyska\u0107 standardowy rozk\u0142ad normalny. Aby to zrobi\u0107, nale\u017cy odj\u0105\u0107 \u015bredni\u0105 od danej warto\u015bci, a nast\u0119pnie podzieli\u0107 przez odchylenie standardowe rozk\u0142adu:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-495b5c96898d0da9f1849fc0ac42da40_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{X-\\mu}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"87\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Odejmujemy wi\u0119c \u015bredni\u0105 i dzielimy warto\u015b\u0107 prawdopodobie\u0144stwa przez odchylenie standardowe:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-392a166ef3ac77a201ad3d068f4fdb80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq 33]=P\\left[Z\\leq\\frac{33-28}{7}\\right]=P[Z\\leq 0,71]\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"355\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Po standaryzacji zmiennej przechodzimy do standardowej tabeli prawdopodobie\u0144stwa rozk\u0142adu normalnego (patrz wy\u017cej), aby sprawdzi\u0107, jakiemu prawdopodobie\u0144stwu odpowiada warto\u015b\u0107 0,71:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-21d277ecd4bfffa0bd3bf7bec1237739_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[Z\\leq 0,71]=0,7611\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"171\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Prawdopodobie\u0144stwo uzyskania warto\u015bci r\u00f3wnej lub mniejszej od 0,71 wynosi zatem 76,11%.<\/p>\n<p> Nale\u017cy pami\u0119ta\u0107, \u017ce je\u015bli warto\u015b\u0107 Z uzyskana w procesie jest ujemna, aby obliczy\u0107 jej prawdopodobie\u0144stwo, nale\u017cy od prawdopodobie\u0144stwa odj\u0105\u0107 dodatni\u0105 warto\u015b\u0107 Z. Sp\u00f3jrz na nast\u0119puj\u0105cy przyk\u0142ad:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-40b28089c304d0aa639aedef7b1a0a00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}P[Z\\leq -1,58]=\\\\[2ex]=1-P[Z\\leq 1,58]=\\\\[2ex]=1-0,9429=\\\\[2ex]=0,0571\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"162\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>W tym artykule znajdziesz tablic\u0119 rozk\u0142adu normalnego, a dodatkowo kilka instrukcji, jak korzysta\u0107 z tablicy rozk\u0142adu normalnego. Warto\u015bci z tabeli rozk\u0142adu normalnego Poni\u017csza tabela przedstawia skumulowane warto\u015bci prawdopodobie\u0144stwa rozk\u0142adu normalnego (lewy ogon). Nale\u017cy pami\u0119ta\u0107, \u017ce warto\u015bci w tej tabeli odpowiadaj\u0105 standardowemu rozk\u0142adowi normalnemu, dlatego aby skorzysta\u0107 z tabeli nale\u017cy najpierw wprowadzi\u0107 zmienn\u0105 . z 0,00 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-220","post","type-post","status-publish","format-standard","hentry","category-prawdopodobienstwo"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Tabela rozk\u0142adu normalnego<\/title>\n<meta name=\"description\" content=\"Tutaj znajdziesz tablic\u0119 rozk\u0142adu normalnego, a dodatkowo kilka instrukcji, jak korzysta\u0107 z tabeli rozk\u0142adu normalnego.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/tablica-rozkladu-normalnego\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Tabela rozk\u0142adu normalnego\" \/>\n<meta property=\"og:description\" content=\"Tutaj znajdziesz tablic\u0119 rozk\u0142adu normalnego, a dodatkowo kilka instrukcji, jak korzysta\u0107 z tabeli rozk\u0142adu normalnego.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/tablica-rozkladu-normalnego\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-04T00:20:17+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4f3c4fbc328c9060c549f1e4276157d2_l3.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/tablica-rozkladu-normalnego\/\",\"url\":\"https:\/\/statorials.org\/pl\/tablica-rozkladu-normalnego\/\",\"name\":\"\u25b7 Tabela rozk\u0142adu normalnego\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-08-04T00:20:17+00:00\",\"dateModified\":\"2023-08-04T00:20:17+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Tutaj znajdziesz tablic\u0119 rozk\u0142adu normalnego, a dodatkowo kilka instrukcji, jak korzysta\u0107 z tabeli rozk\u0142adu normalnego.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/tablica-rozkladu-normalnego\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/tablica-rozkladu-normalnego\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/tablica-rozkladu-normalnego\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Tabela rozk\u0142adu normalnego\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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