{"id":80,"date":"2023-08-05T16:44:39","date_gmt":"2023-08-05T16:44:39","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%9e%e1%80%84%e1%80%ba%e1%80%b9%e1%80%81%e1%80%bb%e1%80%ac%e1%80%99%e1%80%bb%e1%80%be%e1%80%b1%e1%80%ac%e1%80%ba%e1%80%9c%e1%80%84%e1%80%b7%e1%80%ba%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba-%e1%80%9e\/"},"modified":"2023-08-05T16:44:39","modified_gmt":"2023-08-05T16:44:39","slug":"%e1%80%9e%e1%80%84%e1%80%ba%e1%80%b9%e1%80%81%e1%80%bb%e1%80%ac%e1%80%99%e1%80%bb%e1%80%be%e1%80%b1%e1%80%ac%e1%80%ba%e1%80%9c%e1%80%84%e1%80%b7%e1%80%ba%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba-%e1%80%9e","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%9e%e1%80%84%e1%80%ba%e1%80%b9%e1%80%81%e1%80%bb%e1%80%ac%e1%80%99%e1%80%bb%e1%80%be%e1%80%b1%e1%80%ac%e1%80%ba%e1%80%9c%e1%80%84%e1%80%b7%e1%80%ba%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba-%e1%80%9e\/","title":{"rendered":"\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038)"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038) \u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102f\u1036\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a\u104a \u1021\u103d\u1014\u103a\u101c\u102d\u102f\u1004\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u1016\u103c\u1004\u1037\u103a \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u104f \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101e\u1004\u103a\u101b\u103e\u102c\u1016\u103d\u1031\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b <\/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> \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038) \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a <strong>\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103c\u1004\u103a\u1038<\/strong> \u104a <strong>\u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/strong> \u101f\u102f\u101c\u100a\u103a\u1038 \u1001\u1031\u102b\u103a\u101e\u100a\u103a \u104a \u101e\u100a\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1002\u100f\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f\u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101b\u102c\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u1016\u103d\u1032\u1037\u1005\u100a\u103a\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1014\u103e\u1004\u1037\u103a\u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/p>\n<p> \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u1004\u103a\u1039\u1000\u1031\u1010\u101e\u100a\u103a \u1019\u103c\u102d\u102f\u1037\u1010\u1031\u102c\u103a E \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104a \u1025\u1015\u1019\u102c\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a X \u104f \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f E(X) \u1016\u103c\u1004\u1037\u103a \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n<p> \u1021\u101c\u102c\u1038\u1010\u1030\u104a \u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u104f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u104e\u1004\u103a\u1038\u104f\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e (\u101c\u1030\u1026\u1038\u101b\u1031\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e) \u1014\u103e\u1004\u1037\u103a \u1010\u102d\u102f\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u1014\u1031\u101e\u100a\u103a\u104b <\/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> \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1006\u1004\u1037\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u101b\u1015\u102b\u1019\u100a\u103a-<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u104e\u1004\u103a\u1038\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1016\u103c\u1004\u1037\u103a \u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1015\u102b\u104b<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u101a\u1001\u1004\u103a\u1021\u1006\u1004\u1037\u103a\u1010\u103d\u1004\u103a\u101b\u101b\u103e\u102d\u101e\u1031\u102c\u101b\u101c\u1012\u103a\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1015\u1031\u102b\u1004\u103a\u1038\u1011\u100a\u1037\u103a\u1015\u102b\u104b<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\u101b\u101b\u103e\u102d\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038) \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ol>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a <strong>discrete variable \u1010\u1005\u103a\u1001\u102f\u104f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038) \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c<\/strong> \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b <\/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=\"\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\" class=\"wp-image-1752\" width=\"279\" height=\"279\" srcset=\"\" sizes=\"\"><\/figure>\n<\/div>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">\u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u104f\u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b \u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\u1000\u102d\u102f \u101e\u1004\u103a\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/u><\/p>\n<p> \u1000\u103b\u1015\u1014\u103a\u1038 variable \u101e\u100a\u103a discrete (\u1000\u102d\u1005\u1039\u1005\u1021\u1019\u103b\u102c\u1038\u1005\u102f\u1010\u103d\u1004\u103a) \u1019\u103e\u101e\u102c\u101c\u103b\u103e\u1004\u103a \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1005\u1009\u103a\u1006\u1000\u103a\u1019\u1015\u103c\u1010\u103a\u1016\u103c\u1005\u103a\u1014\u1031\u1015\u102b\u1000\u104a \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u101b\u101b\u103e\u102d\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/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> \u101b\u103d\u103e\u1031<\/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> \u1005\u1009\u103a\u1006\u1000\u103a\u1019\u1015\u103c\u1010\u103a\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f\u101e\u102d\u1015\u103a\u101e\u100a\u103a\u1038\u1006\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b <\/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> \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1025\u1015\u1019\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038) \u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u1005\u1009\u103a\u1038\u1005\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u1010\u102d\u1000\u103b\u101e\u1031\u102c \u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u1004\u103a\u1010\u103d\u1031\u1037\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u101c\u1030\u1010\u1005\u103a\u1026\u1038\u101e\u100a\u103a \u101e\u1031\u1019\u1004\u103a\u1038\u1000\u102d\u102f \u101c\u103e\u102d\u1019\u1037\u103a\u101e\u100a\u1037\u103a\u1021\u1001\u102b \u1015\u1031\u102b\u103a\u101c\u102c\u101e\u100a\u1037\u103a \u1014\u1036\u1015\u102b\u1010\u103a\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u104d \u101e\u1030 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101e\u1030\u1019 \u1021\u1014\u102d\u102f\u1004\u103a\u101b\u1014\u102d\u102f\u1004\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1006\u102f\u1036\u1038\u101b\u103e\u102f\u1036\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1002\u102d\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1015\u102b\u101d\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b 1 \u101c\u102d\u1015\u103a\u101c\u103b\u103e\u1004\u103a $800 \u1021\u1014\u102d\u102f\u1004\u103a\u101b\u101e\u100a\u103a\u104a 2 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a 3 \u101c\u102d\u1015\u103a\u101c\u103b\u103e\u1004\u103a $500 \u1006\u102f\u1036\u1038\u101b\u103e\u102f\u1036\u1038\u1015\u103c\u102e\u1038 4, 5 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a 6 rolls \u1006\u102d\u102f\u101c\u103b\u103e\u1004\u103a $100 \u1021\u1014\u102d\u102f\u1004\u103a\u101b\u101e\u100a\u103a\u104b \u1015\u102b\u101d\u1004\u103a\u101b\u1014\u103a\u1005\u103b\u1031\u1038\u1014\u103e\u102f\u1014\u103a\u1038\u1019\u103e\u102c $50 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1002\u102d\u1019\u103a\u1038\u1010\u103d\u1004\u103a \u1015\u102b\u101d\u1004\u103a\u101b\u1014\u103a \u1021\u1000\u103c\u1036\u1015\u103c\u102f\u101c\u102d\u102f\u1015\u102b\u101e\u101c\u102c\u1038\u104b<\/li>\n<\/ul>\n<p> \u1015\u1011\u1019\u1006\u102f\u1036\u1038\u101c\u102f\u1015\u103a\u101b\u1019\u103e\u102c\u1000 \u1015\u103d\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u101b\u1032\u1037\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u1015\u102b\u104b \u101e\u1031\u1001\u103c\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u1019\u103b\u1000\u103a\u1014\u103e\u102c\u1001\u103c\u1031\u102c\u1000\u103a\u1001\u102f\u1015\u102b\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1014\u1036\u1015\u102b\u1010\u103a\u1000\u102d\u102f\u1019\u1006\u102d\u102f \u101c\u103e\u102d\u1019\u1037\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c-<\/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> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101c\u102c\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c- <\/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> \u101a\u1001\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1016\u103c\u1005\u103a\u1021\u1015\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u101e\u102d\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1015\u102f\u1036\u101e\u1031\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1000\u103b\u1004\u1037\u103a\u101e\u102f\u1036\u1038\u101e\u100a\u103a-<\/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> \u1015\u103c\u102e\u1038\u1010\u1031\u102c\u1037 \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a (\u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a)<\/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> \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1024\u1002\u102d\u1019\u103a\u1038\u1010\u103d\u1004\u103a\u1015\u102b\u101d\u1004\u103a\u101e\u100a\u1037\u103a\u1005\u103b\u1031\u1038\u1014\u103e\u102f\u1014\u103a\u1038\u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101b\u1031\u101b\u103e\u100a\u103a\u1010\u103d\u1004\u103a\u101e\u1004\u103a\u1004\u103d\u1031\u1006\u102f\u1036\u1038\u101b\u103e\u102f\u1036\u1038\u101b\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1019\u1000\u1005\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1015\u102d\u102f\u1000\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1000\u101a\u103a\u104d \u101e\u1004\u103a\u101e\u100a\u103a 1 \u101e\u102d\u102f\u1037\u101b\u1031\u102c\u1000\u103a\u101e\u100a\u103a\u1014\u103e\u1004\u1037\u103a\u1010\u1005\u103a\u1015\u103c\u102d\u102f\u1004\u103a\u1014\u1000\u103a\u1015\u102b\u101d\u1004\u103a\u1015\u102b\u1000 \u1000\u103c\u102e\u1038\u1019\u102c\u1038\u101e\u1031\u102c\u1021\u1019\u103c\u1010\u103a\u1021\u1005\u103d\u1014\u103a\u1038\u1000\u102d\u102f \u101b\u101b\u103e\u102d\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u101b\u1031\u101b\u103e\u100a\u103a\u1010\u103d\u1004\u103a \u1006\u102f\u1036\u1038\u101b\u103e\u102f\u1036\u1038\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u104f\u101b\u101c\u1012\u103a\u101e\u100a\u103a \u1010\u1005\u103a\u1001\u102b\u1010\u1005\u103a\u101b\u1036\u1010\u103d\u1004\u103a \u1019\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104a \u1025\u1015\u1019\u102c\u104a \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a $16.67 \u1019\u101b\u1014\u102d\u102f\u1004\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u101e\u1004\u1037\u103a\u101e\u100a\u103a\u104b <\/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> \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1011\u102c\u1038\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\u1011\u1032\u101e\u102d\u102f\u1037 \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1021\u1005\u102f\u1036\u1000\u102d\u102f \u1011\u100a\u1037\u103a\u1015\u102b\u104b \u1016\u103c\u1005\u103a\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1015\u1011\u1019\u1021\u1000\u103d\u1000\u103a\u1010\u103d\u1004\u103a \u101e\u1004\u103a\u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1012\u102f\u1010\u102d\u101a\u1021\u1000\u103d\u1000\u103a\u1010\u103d\u1004\u103a \u101a\u1004\u103a\u1038\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1005\u102e\u1021\u1005\u1025\u103a\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1011\u102c\u1038\u101b\u103e\u102d\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p> \u1012\u1031\u1010\u102c\u1000\u102d\u102f \u1014\u1031\u101b\u102c\u101c\u103d\u1010\u103a\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1011\u102c\u1038\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1012\u103f\u1019\u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u1021\u1016\u103c\u1005\u103a \u1000\u102c\u101c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1011\u100a\u1037\u103a\u101e\u103d\u1004\u103a\u1038\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<form action=\"\" method=\"post\">\n<ul>\n<li> \u1015\u103d\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038- <\/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> \u1015\u103d\u1032\u1010\u102d\u102f\u1004\u103a\u1038\u104f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031- <\/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=\"\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u104b\"><\/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> \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u104f \u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u104f \u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u1000\u102d\u1014\u103a\u1038\u101e\u1031\u1010\u1005\u103a\u1001\u102f\u104f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u101e\u1030\u1037\u1021\u101c\u102d\u102f\u101c\u102d\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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> \u1005\u1000\u1031\u1038\u1016\u103c\u1004\u1037\u103a\u1019\u103c\u103e\u1031\u102c\u1000\u103a\u101e\u1031\u102c\u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1024\u1005\u1000\u1031\u1038\u1016\u103c\u1004\u1037\u103a\u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u1024\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u104f\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a\u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/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> \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u104f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u104f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/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> \u101a\u1031\u1018\u1030\u101a\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1019\u103c\u103e\u1031\u102c\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u101e\u1031\u102c \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u1015\u1031\u1038\u101e\u100a\u103a\u104b \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1014\u1031\u1015\u102b\u1000 \u101b\u101c\u1012\u103a\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u100a\u103a\u104b<\/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> \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u101e\u100a\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u100a\u102e\u1019\u103b\u103e\u1015\u102b\u1000\u104a \u1011\u102d\u102f variable \u104f \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u101c\u100a\u103a\u1038 \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101e\u102f\u100a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b<\/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> \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1021\u1001\u103c\u102c\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1011\u1000\u103a\u1014\u100a\u103a\u1038\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1006\u1000\u103a\u1014\u103d\u101a\u103a\u1019\u103e\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/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> \u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u102c\u1038 \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1004\u1037\u103a \u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1011\u102c\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u102d\u1015\u102b\u1000 \u104e\u1004\u103a\u1038\u104f\u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u101a\u102f\u1010\u1039\u1010\u102d\u1014\u100a\u103a\u1038\u1021\u101b\u101c\u100a\u103a\u1038 \u1021\u1000\u1014\u1037\u103a\u1021\u101e\u1010\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u104b <\/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> \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u1000 \u1018\u102c\u1021\u1010\u103d\u1000\u103a\u101e\u102f\u1036\u1038\u1010\u102c\u101c\u1032\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1024\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101e\u1004\u103a\u1039\u1001\u103b\u102c\u1006\u102d\u102f\u1004\u103a\u101b\u102c\u1019\u103b\u103e\u1031\u102c\u103a\u101c\u1004\u1037\u103a\u1001\u103b\u1000\u103a\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1000\u102d\u102f \u1015\u102d\u102f\u1019\u102d\u102f\u1014\u1000\u103a\u101b\u103e\u102d\u102f\u1004\u103a\u1038\u1005\u103d\u102c 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