{"id":79,"date":"2023-08-05T16:44:39","date_gmt":"2023-08-05T16:44:39","guid":{"rendered":"https:\/\/statorials.org\/ko\/%e1%84%89%e1%85%ae%e1%84%92%e1%85%a1%e1%86%a8%e1%84%8c%e1%85%a5%e1%86%a8-%e1%84%80%e1%85%b5%e1%84%83%e1%85%a2%e1%84%80%e1%85%a1%e1%86%b9-%e1%84%84%e1%85%a9%e1%84%82%e1%85%b3%e1%86%ab-%e1%84%80\/"},"modified":"2023-08-05T16:44:39","modified_gmt":"2023-08-05T16:44:39","slug":"%e1%84%89%e1%85%ae%e1%84%92%e1%85%a1%e1%86%a8%e1%84%8c%e1%85%a5%e1%86%a8-%e1%84%80%e1%85%b5%e1%84%83%e1%85%a2%e1%84%80%e1%85%a1%e1%86%b9-%e1%84%84%e1%85%a9%e1%84%82%e1%85%b3%e1%86%ab-%e1%84%80","status":"publish","type":"post","link":"https:\/\/statorials.org\/ko\/%e1%84%89%e1%85%ae%e1%84%92%e1%85%a1%e1%86%a8%e1%84%8c%e1%85%a5%e1%86%a8-%e1%84%80%e1%85%b5%e1%84%83%e1%85%a2%e1%84%80%e1%85%a1%e1%86%b9-%e1%84%84%e1%85%a9%e1%84%82%e1%85%b3%e1%86%ab-%e1%84%80\/","title":{"rendered":"\uc218\ud559\uc801 \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)"},"content":{"rendered":"<p>\uc774 \ubb38\uc11c\uc5d0\uc11c\ub294 \ud655\ub960 \ubcc0\uc218\uc758 \uc218\ud559\uc801 \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)\uc774 \ubb34\uc5c7\uc778\uc9c0, \uadf8\ub9ac\uace0 \uc774\ub97c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc124\uba85\ud569\ub2c8\ub2e4. \ub2f9\uc2e0\uc740 \uc218\ud559\uc801 \ud76c\ub9dd\uc758 \ud574\uacb0\ub41c \uc5f0\uc2b5\uc744 \ubc1c\uacac\ud560 \uac83\uc785\ub2c8\ub2e4. \ub610\ud55c \uc628\ub77c\uc778 \uacc4\uc0b0\uae30\ub97c \uc0ac\uc6a9\ud558\uc5ec \ubaa8\ub4e0 \ub370\uc774\ud130 \uc138\ud2b8\uc758 \uc608\uc0c1 \uac12\uc744 \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\" id=\"que-es-la-esperanza-matematica-o-valor-esperado\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-esperanza-matematica-o-valor-esperado\"><\/span> \uc218\ud559\uc801 \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)\uc774\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \ud1b5\uacc4\uc5d0\uc11c <strong>\uae30\ub300<\/strong> <strong>\uac12(expected value)<\/strong> \uc774\ub77c\uace0\ub3c4 \ubd88\ub9ac\ub294 \uae30\ub300\uac12\uc740 \ud655\ub960\ubcc0\uc218\uc758 \ud3c9\uade0\uac12\uc744 \ub098\ud0c0\ub0b4\ub294 \uc22b\uc790\uc785\ub2c8\ub2e4. \uc218\ud559\uc801 \uae30\ub300\uce58\ub294 \ubb34\uc791\uc704 \uc0ac\uac74\uc758 \uac12\uacfc \uac01\uac01\uc758 \ubc1c\uc0dd \ud655\ub960\ub85c \uad6c\uc131\ub41c \ubaa8\ub4e0 \uacf1\uc758 \ud569\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \uae30\ub300\uc758 \uae30\ud638\ub294 \ub300\ubb38\uc790 E\uc785\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4 \ud1b5\uacc4\ubcc0\uc218 X\uc758 \uae30\ub300\ub294 E(X)\ub85c \ud45c\uc2dc\ub429\ub2c8\ub2e4.<\/p>\n<p> \ub9c8\ucc2c\uac00\uc9c0\ub85c, \ub370\uc774\ud130 \uc138\ud2b8\uc758 \uc218\ud559\uc801 \uae30\ub300\uac12\uc740 \ud574\ub2f9 \ud3c9\uade0(\uc778\uad6c \ud3c9\uade0)\uacfc \uc77c\uce58\ud569\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\" id=\"como-calcular-la-esperanza-matematica\"><span class=\"ez-toc-section\" id=\"como-calcular-la-esperanza-matematica\"><\/span> \uc218\ud559\uc801 \uae30\ub300\uac12\uc744 \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc774\uc0b0\ubcc0\uc218\uc758 \uc218\ud559\uc801 \uae30\ub300\uac12\uc744 \uacc4\uc0b0\ud558\ub824\uba74 \ub2e4\uc74c \ub2e8\uacc4\ub97c \ub530\ub77c\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\uac00\ub2a5\ud55c \uac01 \uc0ac\uac74\uc5d0 \ubc1c\uc0dd \ud655\ub960\uc744 \uacf1\ud569\ub2c8\ub2e4.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\uc774\uc804 \ub2e8\uacc4\uc5d0\uc11c \uc5bb\uc740 \ubaa8\ub4e0 \uacb0\uacfc\ub97c \ub354\ud569\ub2c8\ub2e4.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\uc5bb\uc740 \uac12\uc740 \ubcc0\uc218\uc758 \uc218\ud559\uc801 \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)\uc785\ub2c8\ub2e4.<\/span><\/li>\n<\/ol>\n<p> \ub530\ub77c\uc11c <strong>\uc774\uc0b0\ubcc0\uc218\uc758 \uc218\ud559\uc801 \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)\uc744 \uacc4\uc0b0\ud558\ub294 \uacf5\uc2dd\uc740<\/strong> \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/espoir-mathematiques-valeur-attendue.png\" alt=\"\uc218\ud559\uc801 \uae30\ub300\uac12 \ub610\ub294 \uae30\ub300\uac12\" class=\"wp-image-1752\" width=\"279\" height=\"279\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">\uc544\ub798 \uacc4\uc0b0\uae30\ub97c \uc0ac\uc6a9\ud558\uc5ec \ubaa8\ub4e0 \ub370\uc774\ud130 \uc138\ud2b8\uc758 \uae30\ub300\uac12\uc744 \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/u><\/p>\n<p> \uc704 \uacf5\uc2dd\uc740 \ud655\ub960 \ubcc0\uc218\uac00 \uc774\uc0b0\ud615\uc778 \uacbd\uc6b0(\ub300\ubd80\ubd84\uc758 \uacbd\uc6b0)\uc5d0\ub9cc \uc0ac\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \ubcc0\uc218\uac00 \uc5f0\uc18d\ud615\uc778 \uacbd\uc6b0 \uc218\ud559\uc801 \uae30\ub300\uac12\uc744 \uc5bb\uc73c\ub824\uba74 \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud574\uc57c \ud569\ub2c8\ub2e4.<\/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-c0ecbcb5a0ab0deb8d097268ac2911f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E(X)=\\int_\\mathbb{R} x\\cdot f_x(x) dx \" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"174\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> \uae08<\/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-f27dd617611a2ded87c3e79c1ee76fa3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f_x\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \uc5f0\uc18d \ubcc0\uc218\uc758 \ubc00\ub3c4 \ud568\uc218\uc785\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\" id=\"ejemplo-de-la-esperanza-matematica\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-esperanza-matematica\"><\/span> \uc218\ud559\uc801 \uae30\ub300\uc758 \uc608<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)\uc758 \uc815\uc758\ub97c \uace0\ub824\ud558\uba74, \uc544\ub798\ub294 \uad6c\uccb4\uc801\uc778 \uc608\uc774\ubbc0\ub85c \uacc4\uc0b0\uc774 \uc5b4\ub5bb\uac8c \uc774\ub8e8\uc5b4\uc9c0\ub294\uc9c0 \ud655\uc778\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<ul>\n<li> \uc8fc\uc0ac\uc704\ub97c \uad74\ub9b4 \ub54c \ub098\ud0c0\ub098\ub294 \uc22b\uc790\uc5d0 \ub530\ub77c \ub3c8\uc744 \uc5bb\uac70\ub098 \uc783\uc744 \uc218 \uc788\ub294 \uac8c\uc784\uc5d0 \uc0ac\ub78c\uc774 \ucc38\uc5ec\ud569\ub2c8\ub2e4. 1\uc774 \ub098\uc624\uba74 $800\ub97c \uc5bb\uace0, 2\ub098 3\uc774 \ub098\uc624\uba74 $500\ub97c \uc783\uace0, 4, 5, 6\uc774 \ub098\uc624\uba74 $100\ub97c \uc5bb\uc2b5\ub2c8\ub2e4. \ucc38\uac00 \uac00\uaca9\uc740 $50 \uc785\ub2c8\ub2e4. \uc774 \ud655\ub960 \uac8c\uc784\uc5d0 \ucc38\uc5ec\ud558\ub294 \uac83\uc744 \ucd94\ucc9c\ud558\uc2dc\uaca0\uc2b5\ub2c8\uae4c?<\/li>\n<\/ul>\n<p> \uac00\uc7a5 \uba3c\uc800 \ud574\uc57c \ud560 \uc77c\uc740 \uac01 \uc0ac\uac74\uc758 \ud655\ub960\uc744 \uacb0\uc815\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc8fc\uc0ac\uc704\uc5d0\ub294 6\uac1c\uc758 \uba74\uc774 \uc788\uc73c\ubbc0\ub85c \uc22b\uc790\uac00 \ub098\uc62c \ud655\ub960\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/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-b6f7689a151fef994183ad359ae578b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p(\\text{obtener un n\\'umero})=\\cfrac{1}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"206\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \uac01 \uc0ac\uac74\uc758 \ubc1c\uc0dd \ud655\ub960\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/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-3ad9bd3479cfff0fd8a669549b972ecb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p(\\text{ganar }\\$800)=\\cfrac{1}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"143\" style=\"vertical-align: -12px;\"><\/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-cc814922859e0fd0be7476101a6decc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p(\\text{perder }\\$500)=2\\cdot \\cfrac{1}{6}=\\cfrac{2}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"206\" style=\"vertical-align: -12px;\"><\/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-b2a717f65fcc37f0ec7e338271bef523_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p(\\text{ganar }\\$100)=3\\cdot \\cfrac{1}{6}=\\cfrac{3}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"199\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \uc774\uc81c \uac01 \uc0ac\uac74\uc774 \ubc1c\uc0dd\ud560 \ud655\ub960\uc744 \uc54c\uc558\uc73c\ubbc0\ub85c \uae30\ub300\uac12\uc5d0 \ub300\ud55c \uc218\ud559 \uacf5\uc2dd\uc744 \uc801\uc6a9\ud569\ub2c8\ub2e4.<\/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-2634d90a3d741a7681987d3e7f45ebd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E(X)=\\sum_{i=1}^nx_i\\cdot p_i\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"139\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \uc218\ud559\uc801 \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/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-3a7532f7bc4f9a6fc9c367fe2e28d0bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E(X)=800\\cdot\\cfrac{1}{6}-500\\cdot \\cfrac{2}{6}+100\\cdot\\cfrac{3}{6}=\\$16,67\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"338\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \uae30\ub300\ub418\ub294 \uac00\uce58\ub294 \uc774 \uac8c\uc784\uc5d0 \ucc38\uc5ec\ud558\ub294 \uac00\uaca9\ubcf4\ub2e4 \ub0ae\uc73c\ubbc0\ub85c \uc7a5\uae30\uc801\uc73c\ub85c \ub3c8\uc744 \uc783\uac8c \ub418\ubbc0\ub85c \ud50c\ub808\uc774\ud558\uc9c0 \uc54a\ub294 \uac83\uc774 \uc88b\uc2b5\ub2c8\ub2e4. 1\uc774 \ub420 \ub54c\ub9cc \ucc38\uc5ec\ud558\uba74 \ud070 \uc774\uc775\uc744 \uc5bb\uc744 \uc218\ub3c4 \uc788\uc9c0\ub9cc \uc7a5\uae30\uc801\uc73c\ub85c\ub294 \uc190\uc2e4\uc744 \uc785\uc744 \ud655\ub960\uc774 \ub192\ub2e4.<\/p>\n<p> \uc218\ud559\uc801 \uae30\ub300\uc758 \uacb0\uacfc\ub294 \ub54c\ub54c\ub85c \ubd88\uac00\ub2a5\ud55c \uac12\uc774\ub77c\ub294 \uc810\uc5d0 \uc720\uc758\ud574\uc57c \ud569\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uc5b4 \uc774 \uacbd\uc6b0 $16.67\uc744 \uc5bb\uc744 \uc218 \uc5c6\uc2b5\ub2c8\ub2e4. <\/p>\n<h2 class=\"wp-block-heading\" id=\"calculadora-de-la-esperanza-matematica\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-esperanza-matematica\"><\/span> \uae30\ub300 \uacc4\uc0b0\uae30<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uae30\ub300\uac12\uc744 \uacc4\uc0b0\ud558\ub824\uba74 \ub2e4\uc74c \uacc4\uc0b0\uae30\uc5d0 \uc77c\ub828\uc758 \ud1b5\uacc4 \ub370\uc774\ud130\ub97c \uc785\ub825\ud558\uc138\uc694. \uccab \ubc88\uc9f8 \uc0c1\uc790\uc5d0\ub294 \uac01 \uc0ac\uac74\uc758 \uac12\uc744 \uc785\ub825\ud558\uace0 \ub450 \ubc88\uc9f8 \uc0c1\uc790\uc5d0\ub294 \ub3d9\uc77c\ud55c \uc21c\uc11c\ub85c \ubc1c\uc0dd \ud655\ub960\uc744 \uc785\ub825\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p> \ub370\uc774\ud130\ub294 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud574\uc57c \ud558\uba70 \uc18c\uc218\uc810 \uad6c\ubd84 \uae30\ud638\ub85c \ub9c8\uce68\ud45c\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc785\ub825\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<form action=\"\" method=\"post\">\n<ul>\n<li> \uac01 \uc774\ubca4\ud2b8\uc758 \uac00\uce58: <\/li>\n<\/ul>\n<p><textarea name=\"datosX\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"3 4 1 7 5 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los valores de los sucesos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<ul style=\"margin-top:25px\">\n<li> \uac01 \uc0ac\uac74\uc758 \ud655\ub960: <\/li>\n<\/ul>\n<p><textarea name=\"datosP\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"0.1 0.25 0.4 0.05 0.15 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce las probabilidades aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\uc218\ud559\uc801 \uae30\ub300\uac12 \uacc4\uc0b0\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\" id=\"propiedades-de-la-esperanza-matematica\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-esperanza-matematica\"><\/span> \uc218\ud559\uc801 \uae30\ub300\uc758 \uc18d\uc131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc218\ud559\uc801 \uae30\ub300\uc758 \uc18d\uc131\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<ul>\n<li> \uc0c1\uc218\uc5d0 \ub300\ud55c \uc218\ud559\uc801 \uae30\ub300\ub294 \uadf8 \uc790\uccb4\uc785\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-564923a9300f678924c2bf5d02fb5821_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E(k)=k\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \uc2a4\uce7c\ub77c\ub97c \uacf1\ud55c \ud655\ub960 \ubcc0\uc218\uc758 \uae30\ub300\uac12\uc740 \uc774 \uc2a4\uce7c\ub77c\ub97c \uacf1\ud55c \uc774 \ubcc0\uc218\uc758 \uae30\ub300\uac12\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-506787cf97f31936eef0579d1471a5bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E(k\\cdot X)=k\\cdot E(X)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"156\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \ub450 \ubcc0\uc218\uc758 \ud569\uc5d0 \ub300\ud55c \uc218\ud559\uc801 \uae30\ub300\ub294 \uac01 \ubcc0\uc218\uc758 \uc218\ud559\uc801 \uae30\ub300\uc758 \ud569\uacfc \ub3d9\uc77c\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3cfd9f255e02675ec64ec472d0c997c3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E(X+Y)=E(X)+E(Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"210\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \uc77c\ubc18\uc801\uc73c\ub85c \ub450 \ubcc0\uc218\ub97c \uacf1\ud558\uba74 \ub2e4\ub978 \uc218\ud559\uc801 \uae30\ub300\uac12\uc774 \uc0dd\uc131\ub429\ub2c8\ub2e4. \ubcc0\uc218\uac00 \ub3c5\ub9bd\uc778 \uacbd\uc6b0\uc5d0\ub9cc \uacb0\uacfc\uac00 \ub3d9\uc77c\ud569\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-116cfab17848d8aa4a3833600bd3215a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E(X\\cdot Y)\\neq E(X)\\cdot E(Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \ubcc0\uc218\uc758 \ubaa8\ub4e0 \uac12\uc774 0\ubcf4\ub2e4 \ud06c\uac70\ub098 \uac19\uc73c\uba74 \ud574\ub2f9 \ubcc0\uc218\uc758 \uc218\ud559\uc801 \uae30\ub300\uac12\ub3c4 \uc591\uc218\uc774\uac70\ub098 0\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4830aa6f68f621f7bac3ffa0b2d8d2db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\geq 0 \\ \\longrightarrow \\ E(X)\\geq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"175\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \ud55c \ubcc0\uc218\uc758 \ubaa8\ub4e0 \uac12\uc774 \ub2e4\ub978 \ubcc0\uc218\uc758 \ubaa8\ub4e0 \uac12\ubcf4\ub2e4 \uc791\uc73c\uba74 \ub450 \ubcc0\uc218\uc758 \uae30\ub300\uce58\ub294 \ub3d9\uc77c\ud55c \uad00\uacc4\ub97c \uac16\uc2b5\ub2c8\ub2e4.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f236222136aa7e5cab6ff999cfbecb9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\leq Y \\ \\longrightarrow \\ E(X)\\leq E(Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"213\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \ubcc0\uc218\uac00 \ub450 \uac12\uc73c\ub85c \uc81c\ud55c\ub41c\ub2e4\ub294 \uac83\uc744 \uc54c\uba74 \ud574\ub2f9 \ubcc0\uc218\uc758 \uc218\ud559\uc801 \uae30\ub300\ub3c4 \ub17c\ub9ac\uc801\uc73c\ub85c \uc81c\ud55c\ub429\ub2c8\ub2e4. <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f1241572e77188af4dbd932f7415c0dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\n\n<ul>\n<li> Si une variable est la combinaison lin\u00e9aire d&#8217;une autre variable, ses attentes math\u00e9matiques satisfont \u00e0 la m\u00eame relation alg\u00e9brique : <\/li>\n<\/ul>\n<p>[latex]Y=a+bX \\ \\longrightarrow \\ E(Y)=a+b\\cdot E(X)&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;41&#8243; width=&#8221;1116&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" id=\"para-que-sirve-la-esperanza-matematica\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirve-la-esperanza-matematica\"><\/span> \uc218\ud559\uc801 \uae30\ub300\uac12\uc740 \ubb34\uc5c7\uc5d0 \uc0ac\uc6a9\ub418\ub098\uc694?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \uc774 \ub9c8\uc9c0\ub9c9 \uc139\uc158\uc5d0\uc11c \uc6b0\ub9ac\ub294 \uc218\ud559\uc801 \ud76c\ub9dd\uc758 \uc758\ubbf8\ub97c \ub354 \uae4a\uc774 \ud0d0\uad6c\ud560 \uac83\uc785\ub2c8\ub2e4. \uad6c\uccb4\uc801\uc73c\ub85c, \uc6b0\ub9ac\ub294 \uc774 \ud1b5\uacc4\uc801 \uce21\uc815\uc774 \uc5b4\ub5a4 \uc6a9\ub3c4\ub85c \uc0ac\uc6a9\ub418\ub294\uc9c0 \uc0b4\ud3b4\ubcf4\uace0 \uac1c\ub150\uc744 \ub354 \uc798 \uc774\ud574\ud560 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<p> \uc218\ud559\uc801 \uae30\ub300(\ub610\ub294 \uae30\ub300\uac12)\ub294 \ud655\ub960\uc801 \uacf5\uac04\uc5d0\uc11c \uc7a5\uae30\uc801\uc73c\ub85c \uc5bb\uac70\ub098 \uc783\uc744 \uac83\uc73c\ub85c \uc608\uc0c1\ub418\ub294 \uae08\uc561\uc758 \uac12\uc744 \uac16\ub294 \ub370 \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uc989, \uc218\ud559\uc801 \uae30\ub300\uce58\ub294 \uc7a5\uae30\uc801\uc73c\ub85c \uc5bb\uc744 \uc218 \uc788\ub294 \uc218\uc775\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4.<\/p>\n<p> \uc0ac\ub78c\uc774 \ud68c\uc0ac \uc8fc\uc2dd \ub9e4\uc785\uacfc \uac19\uc740 \ud22c\uc790\ub97c \uace0\ub824\ud560 \ub54c \uace0\ub824\ud574\uc57c \ud560 \ub9e4\uac1c\ubcc0\uc218 \uc911 \ud558\ub098\ub294 \uc218\ud559\uc801 \uae30\ub300\uce58\uc785\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74 \uc774 \ud22c\uc790\ub97c \uc5ec\ub7ec \ubc88 \ud558\uba74 \uc5bb\uc744 \uc218 \uc788\ub294 \uacbd\uc81c\uc801 \uc218\uc775\uc740 \uc218\ud559\uc801 \uae30\ub300\uac12\uc774 \ub418\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. \uc774\ub294 \uc5bb\uc740 \uc774\uc775\uc758 \ud3c9\uade0\uc73c\ub85c \uac04\uc8fc\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \ub9c8\ucc2c\uac00\uc9c0\ub85c, \uc218\ud559\uc801 \uae30\ub300\ub294 \uacc4\ub7c9\uacbd\uc81c\ud559, \uc591\uc790\ubb3c\ub9ac\ud559, \uac70\ub798, \uc2ec\uc9c0\uc5b4 \uc0dd\ubb3c\ud559\uacfc \uac19\uc740 \ub2e4\ub978 \ubd84\uc57c\uc5d0\uc11c\ub3c4 \uc0ac\uc6a9\ub429\ub2c8\ub2e4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \ubb38\uc11c\uc5d0\uc11c\ub294 \ud655\ub960 \ubcc0\uc218\uc758 \uc218\ud559\uc801 \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)\uc774 \ubb34\uc5c7\uc778\uc9c0, \uadf8\ub9ac\uace0 \uc774\ub97c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc124\uba85\ud569\ub2c8\ub2e4. \ub2f9\uc2e0\uc740 \uc218\ud559\uc801 \ud76c\ub9dd\uc758 \ud574\uacb0\ub41c \uc5f0\uc2b5\uc744 \ubc1c\uacac\ud560 \uac83\uc785\ub2c8\ub2e4. \ub610\ud55c \uc628\ub77c\uc778 \uacc4\uc0b0\uae30\ub97c \uc0ac\uc6a9\ud558\uc5ec \ubaa8\ub4e0 \ub370\uc774\ud130 \uc138\ud2b8\uc758 \uc608\uc0c1 \uac12\uc744 \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc218\ud559\uc801 \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)\uc774\ub780 \ubb34\uc5c7\uc785\ub2c8\uae4c? \ud1b5\uacc4\uc5d0\uc11c \uae30\ub300 \uac12(expected value) \uc774\ub77c\uace0\ub3c4 \ubd88\ub9ac\ub294 \uae30\ub300\uac12\uc740 \ud655\ub960\ubcc0\uc218\uc758 \ud3c9\uade0\uac12\uc744 \ub098\ud0c0\ub0b4\ub294 \uc22b\uc790\uc785\ub2c8\ub2e4. \uc218\ud559\uc801 \uae30\ub300\uce58\ub294 \ubb34\uc791\uc704 \uc0ac\uac74\uc758 \uac12\uacfc \uac01\uac01\uc758 \ubc1c\uc0dd [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21],"tags":[],"class_list":["post-79","post","type-post","status-publish","format-standard","hentry","category-21"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \uc218\ud559\uc801 \uae30\ub300\uac12(\ub610\ub294 \uae30\ub300\uac12)<\/title>\n<meta name=\"description\" content=\"\uc774 \ubb38\uc11c\uc5d0\uc11c\ub294 \ud655\ub960 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