{"id":3117,"date":"2023-07-19T03:24:49","date_gmt":"2023-07-19T03:24:49","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a8%d9%8a%d8%ab%d9%88%d9%86-%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d8%a7%d9%94%d8%b3%d9%8a\/"},"modified":"2023-07-19T03:24:49","modified_gmt":"2023-07-19T03:24:49","slug":"%d8%a8%d9%8a%d8%ab%d9%88%d9%86-%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d8%a7%d9%94%d8%b3%d9%8a","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a8%d9%8a%d8%ab%d9%88%d9%86-%d8%a7%d9%84%d8%aa%d9%88%d8%b2%d9%8a%d8%b9-%d8%a7%d9%84%d8%a7%d9%94%d8%b3%d9%8a\/","title":{"rendered":"\u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u062a\u0648\u0632\u064a\u0639-\u0627\u0644\u0627\u0654\u0633\u064a-1\/\" target=\"_blank\" rel=\"noopener\">\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/a> \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u064a \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u0630\u064a \u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u0627\u0646\u062a\u0638\u0627\u0631\u0647 \u062d\u062a\u0649 \u0648\u0642\u0648\u0639 \u062d\u062f\u062b \u0645\u0639\u064a\u0646.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u0630\u0627 \u0643\u0627\u0646 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a-\u0627\u0644\u0639\u0634\u0648\u0627\u064a\u0654\u064a\u0629\/\" target=\"_blank\" rel=\"noopener\">\u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a<\/a> <em>X<\/em> \u064a\u062a\u0628\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a\u060c<\/span> <span style=\"color: #000000;\">\u0641\u064a\u0645\u0643\u0646 \u0643\u062a\u0627\u0628\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0640 <em>X<\/em> :<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong><em>F<\/em> (\u0633\u061b \uf06c) = 1 \u2013 \u0647 &#8211; <sup>\uf06c\u0633<\/sup><\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0630\u0647\u0628:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\uf06c:<\/strong> \u0645\u0639\u0644\u0645\u0629 \u0627\u0644\u0645\u0639\u062f\u0644 (\u0645\u062d\u0633\u0648\u0628\u0629 \u0639\u0644\u0649 \u0623\u0646\u0647\u0627 \uf06c = 1\/\u03bc)<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>e:<\/strong> \u062b\u0627\u0628\u062a \u064a\u0633\u0627\u0648\u064a \u062a\u0642\u0631\u064a\u0628\u064b\u0627 2.718<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0634\u0631\u062d \u0647\u0630\u0627 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <strong>\u0643\u064a\u0641\u064a\u0629 \u062a\u0648\u0644\u064a\u062f \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/strong><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <strong>expon.rvs(scale, size)<\/strong> \u0645\u0646 \u0645\u0643\u062a\u0628\u0629 SciPy \u0641\u064a Python \u0644\u0625\u0646\u0634\u0627\u0621 \u0642\u064a\u0645 \u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0645\u0646 \u062a\u0648\u0632\u064a\u0639 \u0623\u0633\u064a \u0628\u0645\u0639\u0644\u0645\u0629 \u0645\u0639\u062f\u0644 \u0645\u062d\u062f\u062f\u0629 \u0648\u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> expo\n\n<span style=\"color: #008080;\">#generate random values from exponential distribution with rate=40 and sample size=10<\/span>\nexpon. <span style=\"color: #3366ff;\">rvs<\/span> (scale= <span style=\"color: #008000;\">40<\/span> , size= <span style=\"color: #008000;\">10<\/span> )\n\narray([116.5368323 , 67.23514699, 12.00399043, 40.74580584,\n        34.60922432, 2.68266663, 22.70459831, 97.66661811,\n         6.64272914, 46.15547298])\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0644\u0627\u062d\u0638\u0629<\/strong> : \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0648\u062b\u0627\u0626\u0642 \u0645\u0643\u062a\u0628\u0629 SciPy \u0627\u0644\u0643\u0627\u0645\u0644\u0629 <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.expon.html\" target=\"_blank\" rel=\"noopener\">\u0647\u0646\u0627<\/a> .<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <strong>\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/strong><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0641\u062a\u0631\u0636 \u0623\u0646 \u0645\u062a\u0648\u0633\u0637 \u0639\u062f\u062f \u0627\u0644\u062f\u0642\u0627\u0626\u0642 \u0628\u064a\u0646 \u062b\u0648\u0631\u0627\u0646 \u0646\u0628\u0639 \u0645\u0627\u0621 \u062d\u0627\u0631 \u0645\u0639\u064a\u0646 \u0647\u0648 40 \u062f\u0642\u064a\u0642\u0629. \u0645\u0627 \u0645\u062f\u0649 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0646\u062a\u0638\u0627\u0631\u0646\u0627 \u0623\u0642\u0644 \u0645\u0646 50 \u062f\u0642\u064a\u0642\u0629 \u0644\u062d\u062f\u0648\u062b \u0627\u0644\u062b\u0648\u0631\u0627\u0646\u061f<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u0646\u062d\u062a\u0627\u062c \u0623\u0648\u0644\u0627\u064b \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u0645\u0639\u062f\u0644:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">lect = 1\/\u03bc<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">lect = 1\/40<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u03c6 = 0.025<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u0628\u0640 lect = 0.025 \u0648 x = 50 \u0641\u064a \u0635\u064a\u063a\u0629 CDF:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">P(X \u2265 x) = 1 &#8211; \u0647 &#8211; <sup>lectx<\/sup><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641(\u0633 \u2265 50) = 1 &#8211; \u0647 <sup>-0.025(50)<\/sup><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641(\u0633 \u2265 50) = 0.7135<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u0646\u0646\u062a\u0638\u0631 \u0623\u0642\u0644 \u0645\u0646 50 \u062f\u0642\u064a\u0642\u0629 \u0644\u0644\u062b\u0648\u0631\u0627\u0646 \u0627\u0644\u062a\u0627\u0644\u064a \u0647\u0648 <strong>0.7135<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062f\u0627\u0644\u0629 <strong>expon.cdf()<\/strong> \u200e \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0640 SciPy \u0644\u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0641\u064a Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> expo\n\n<span style=\"color: #008080;\">#calculate probability that x is less than 50 when mean rate is 40<\/span>\nexpon. <span style=\"color: #3366ff;\">cdf<\/span> (x=50, scale=40)\n\n0.7134952031398099\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u0646\u0646\u062a\u0638\u0631 \u0623\u0642\u0644 \u0645\u0646 50 \u062f\u0642\u064a\u0642\u0629 \u0644\u0644\u062b\u0648\u0631\u0627\u0646 \u0627\u0644\u062a\u0627\u0644\u064a \u0647\u0648 <strong>0.7135<\/strong> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0648\u0647\u0630\u0627 \u064a\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u062a\u064a \u062d\u0633\u0628\u0646\u0627\u0647\u0627 \u064a\u062f\u0648\u064a\u064b\u0627.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0643\u064a\u0641\u064a\u0629 \u0631\u0633\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0631\u0633\u0645 \u062a\u0648\u0632\u064a\u0639 \u0623\u0633\u064a \u0628\u0645\u0639\u0644\u0645\u0629 \u0645\u0639\u062f\u0644 \u0645\u0639\u064a\u0646\u0629:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> expo\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#generate exponential distribution with sample size 10000<\/span>\nx = expon. <span style=\"color: #3366ff;\">rvs<\/span> (scale= <span style=\"color: #008000;\">40<\/span> ,size= <span style=\"color: #008000;\">10000<\/span> )\n\n<span style=\"color: #008080;\">#create plot of exponential distribution\n<\/span>plt. <span style=\"color: #3366ff;\">hist<\/span> (x, density= <span style=\"color: #008000;\">True<\/span> , edgecolor=' <span style=\"color: #ff0000;\">black<\/span> ')\n<\/strong><\/pre>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26590 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exponentielpython1.jpg\" alt=\"\" width=\"514\" height=\"388\" srcset=\"\" sizes=\"\"><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0645\u0635\u0627\u062f\u0631 \u0625\u0636\u0627\u0641\u064a\u0629<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062a\u0634\u0631\u062d \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <a href=\"https:\/\/statorials.org\/ar\/\u0628\u064a\u062b\u0648\u0646-\u062a\u0648\u0632\u064a\u0639-\u0627\u0644\u0627\u0654\u0633\u0645\u0627\u0643\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646 \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u062a\u0648\u0632\u064a\u0639-\u0628\u0627\u064a\u062b\u0648\u0646\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u0648\u0632\u064a\u0639 t \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u062a\u0648\u0632\u064a\u0639-\u0645\u0648\u062d\u062f-\u0628\u064a\u062b\u0648\u0646\/\" target=\"_blank\" rel=\"noopener\">\u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0648\u062d\u062f \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u064a \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u0630\u064a \u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u0627\u0646\u062a\u0638\u0627\u0631\u0647 \u062d\u062a\u0649 \u0648\u0642\u0648\u0639 \u062d\u062f\u062b \u0645\u0639\u064a\u0646. \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a X \u064a\u062a\u0628\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a\u060c \u0641\u064a\u0645\u0643\u0646 \u0643\u062a\u0627\u0628\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0640 X : F (\u0633\u061b \uf06c) = 1 \u2013 \u0647 &#8211; \uf06c\u0633 \u0630\u0647\u0628: \uf06c: \u0645\u0639\u0644\u0645\u0629 \u0627\u0644\u0645\u0639\u062f\u0644 (\u0645\u062d\u0633\u0648\u0628\u0629 \u0639\u0644\u0649 \u0623\u0646\u0647\u0627 \uf06c = 1\/\u03bc) e: \u062b\u0627\u0628\u062a \u064a\u0633\u0627\u0648\u064a \u062a\u0642\u0631\u064a\u0628\u064b\u0627 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0641\u064a \u0628\u0627\u064a\u062b\u0648\u0646 - \u0639\u0644\u0645 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