{"id":1321,"date":"2023-07-26T21:19:13","date_gmt":"2023-07-26T21:19:13","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%a7%d9%95%d8%ad%d8%b5%d8%a7%d9%8a%d9%94%d9%8a%d8%a7%d8%aa-pmf\/"},"modified":"2023-07-26T21:19:13","modified_gmt":"2023-07-26T21:19:13","slug":"%d8%a7%d9%95%d8%ad%d8%b5%d8%a7%d9%8a%d9%94%d9%8a%d8%a7%d8%aa-pmf","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%a7%d9%95%d8%ad%d8%b5%d8%a7%d9%8a%d9%94%d9%8a%d8%a7%d8%aa-pmf\/","title":{"rendered":"\u0645\u0627 \u0647\u064a \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 (pmf) \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0621\u061f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p style=\";text-align:right;direction:rtl\"><span style=\"color: #000000;\">\u062a\u062e\u0628\u0631\u0646\u0627 <strong>\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629<\/strong> \u060c \u0648\u0627\u0644\u062a\u064a \u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0627 \u064a\u062a\u0645 \u0627\u062e\u062a\u0635\u0627\u0631\u0647\u0627 <strong>\u0628\u0640 PMF<\/strong> \u060c \u0628\u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0623\u062e\u0630 <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 \u0627\u0644\u0645\u0646\u0641\u0635\u0644<\/a> \u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0623\u0644\u0642\u064a\u0646\u0627 \u062d\u062c\u0631 \u0627\u0644\u0646\u0631\u062f \u0645\u0631\u0629 \u0648\u0627\u062d\u062f\u0629. \u0625\u0630\u0627 \u062a\u0631\u0643\u0646\u0627 x \u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0630\u064a \u064a\u0642\u0639 \u0639\u0644\u064a\u0647 \u0627\u0644\u0646\u0631\u062f\u060c \u0641\u064a\u0645\u0643\u0646 \u0648\u0635\u0641 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u062a\u0643\u0648\u0646 <em>x<\/em> \u0645\u0633\u0627\u0648\u064a\u0629 \u0644\u0642\u064a\u0645 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641(\u0633 = 1): 1\/6<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641(\u0633 = 2): 1\/6<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641(\u0633 = 3): 1\/6<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641(\u0633 = 4): 1\/6<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641(\u0633 = 5): 1\/6<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0641(\u0633 = 6): 1\/6<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0647\u0646\u0627\u0643 \u0641\u0631\u0635\u0629 \u0645\u062a\u0633\u0627\u0648\u064a\u0629 \u0623\u0646 \u064a\u0633\u062a\u0642\u0631 \u0627\u0644\u0646\u0631\u062f \u0639\u0644\u0649 \u0623\u064a \u0631\u0642\u0645 \u064a\u0642\u0639 \u0628\u064a\u0646 1 \u0648 6.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u0644\u064a\u0643 \u0643\u064a\u0641\u064a\u0629 \u0643\u062a\u0627\u0628\u0629 \u0647\u0630\u0647 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0643\u062f\u0627\u0644\u0629 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062c\u0645\u0627\u0639\u064a\u0629:<\/span> <\/p>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12928 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pmf1-1.png\" alt=\"\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629\" width=\"227\" height=\"181\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u064a\u0648\u0636\u062d \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0633\u0631 \u0645\u0646 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u0623\u064a\u0645\u0646:<\/span> <\/p>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12929 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pmf2.png\" alt=\"\u062f\u0627\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u062c\u0645\u0627\u0639\u064a\u0629 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0621\" width=\"246\" height=\"232\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u0646 \u062e\u0635\u0627\u0626\u0635 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0623\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u062c\u0645\u0648\u0639\u0647\u0627 1. \u0633\u062a\u0644\u0627\u062d\u0638 \u0623\u0646 PMF \u0647\u0630\u0627 \u064a\u0633\u062a\u0648\u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0634\u0631\u0637:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0645\u062c\u0645\u0648\u0639 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a = 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1\/6 = 1.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u064a\u0634\u064a\u0631 <strong>\u062f\u0639\u0645<\/strong> \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0623\u062e\u0630\u0647\u0627 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0627\u0644\u0645\u0646\u0641\u0635\u0644. \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u062f\u0639\u0645 {1\u060c 2\u060c 3\u060c 4\u060c 5\u060c 6} \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0642\u064a\u0645\u0629 \u0627\u0644\u0642\u0627\u0644\u0628 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0623\u062e\u0630 \u0623\u064a\u064b\u0627 \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645.<\/span><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><span style=\"color: #000000;\">\u062e\u0627\u0631\u062c \u0646\u0637\u0627\u0642 \u0627\u0644\u062f\u0639\u0645\u060c \u062a\u0643\u0648\u0646 \u0642\u064a\u0645\u0629 PMF \u0635\u0641\u0631\u064b\u0627. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0633\u0642\u0648\u0637 \u0627\u0644\u0646\u0631\u062f \u0639\u0644\u0649 \u0627\u0644\u0631\u0642\u0645 &#8220;0&#8221; \u0623\u0648 &#8220;7&#8221; \u0623\u0648 &#8220;8&#8221; \u0647\u0648 \u0635\u0641\u0631 \u0646\u0638\u0631\u064b\u0627 \u0644\u0639\u062f\u0645 \u062a\u0636\u0645\u064a\u0646 \u0623\u064a \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0641\u064a \u0627\u0644\u0642\u0648\u0633.<\/span><\/span><\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u0645\u0627\u0631\u0633\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0629<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0627\u0644\u0645\u062b\u0627\u0644\u0627\u0646 \u0627\u0644\u0623\u0643\u062b\u0631 \u0634\u064a\u0648\u0639\u064b\u0627 \u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u0645\u0627\u0631\u0633\u0629 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u064a\u062a\u0639\u0644\u0642\u0627\u0646 <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u062a\u0648\u0632\u064a\u0639-\u0630\u0648-\u0627\u0644\u062d\u062f\u064a\u0646-1\/\" target=\"_blank\" rel=\"noopener\">\u0628\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646<\/a> <a href=\"https:\/\/statorials.org\/ar\/\u062a\u0648\u0632\u064a\u0639-\u0627\u0644\u0627\u0654\u0633\u0645\u0627\u0643\/\" target=\"_blank\" rel=\"noopener\">\u0648\u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646<\/a> .<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u062a\u0648\u0632\u064a\u0639 \u062b\u0646\u0627\u0626\u064a<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a <em>X<\/em> \u064a\u062a\u0628\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646\u060c \u0641\u064a\u0645\u0643\u0646 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u062d\u062a\u0645\u0627\u0644 \u0646\u062c\u0627\u062d <em>X<\/em> = <em>k<\/em> \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong>P(X=k) = <sub>n<\/sub> C <sub>k<\/sub> * p <sup>k<\/sup> * (1-p) <sup>nk<\/sup><\/strong><\/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>\u0646:<\/strong> \u0639\u062f\u062f \u0627\u0644\u062a\u062c\u0627\u0631\u0628<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0643:<\/strong> \u0639\u062f\u062f \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0639:<\/strong> \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u0646\u062c\u0627\u062d \u0641\u064a \u062a\u062c\u0631\u0628\u0629 \u0645\u0639\u064a\u0646\u0629<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong><sub>n<\/sub> C <sub>k<\/sub> :<\/strong> \u0639\u062f\u062f \u0627\u0644\u0637\u0631\u0642 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u062c\u0627\u062d\u0627\u062a <em>k<\/em> \u0641\u064a \u0627\u0644\u062a\u062c\u0627\u0631\u0628 <em>n<\/em><\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0646\u0642\u0644\u0628 \u0639\u0645\u0644\u0629 \u0645\u0639\u062f\u0646\u064a\u0629 3 \u0645\u0631\u0627\u062a. \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0623\u0639\u0644\u0627\u0647 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 0 \u06481 \u06482 \u06483 \u0631\u0624\u0648\u0633 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0631\u0645\u064a\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0641(X=0)<\/strong> = <sub>3<\/sub> \u062c <sub>0<\/sub> * 0.5 <sup>0<\/sup> * (1-0.5) <sup>3-0<\/sup> = 1 * 1 * (0.5) <sup>3<\/sup> = <strong>0.125<\/strong><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0641(X=1)<\/strong> = <sub>3<\/sub> \u062c <sub>1<\/sub> * 0.5 <sup>1<\/sup> * (1-0.5) <sup>3-1<\/sup> = 1 * 1 * (0.5) <sup>2<\/sup> = <strong>0.375<\/strong><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0641(X=2)<\/strong> = <sub>3<\/sub> \u062c <sub>2<\/sub> * 0.5 <sup>2<\/sup> * (1-0.5) <sup>3-2<\/sup> = 1 * 1 * (0.5) <sup>1<\/sup> = <strong>0.375<\/strong><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0641(X=3)<\/strong> = <sub>3<\/sub> \u062c <sub>3<\/sub> * 0.5 <sup>3<\/sup> * (1-0.5) <sup>3-3<\/sup> = 1 * 1 * (0.5) <sup>0<\/sup> = <strong>0.125<\/strong><\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u0645\u0627\u0643<\/strong><\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a <em>X<\/em> \u064a\u062a\u0628\u0639 \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646\u060c \u0641\u064a\u0645\u0643\u0646 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u062d\u062a\u0645\u0627\u0644 \u0646\u062c\u0627\u062d <em>X<\/em> = <em>k<\/em> \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>P(X=k) = \uf06c <sup>\u0643<\/sup> * \u0647 <sup>&#8211; \uf06c<\/sup> \/ \u0643!<\/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\u062a\u0648\u0633\u0637 \u0639\u062f\u062f \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062b \u062e\u0644\u0627\u0644 \u0641\u062a\u0631\u0629 \u0632\u0645\u0646\u064a\u0629 \u0645\u062d\u062f\u062f\u0629<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u0643:<\/strong> \u0639\u062f\u062f \u0627\u0644\u0646\u062c\u0627\u062d\u0627\u062a<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><b>e:<\/b> \u062b\u0627\u0628\u062a \u064a\u0633\u0627\u0648\u064a 2.71828 \u062a\u0642\u0631\u064a\u0628\u064b\u0627<\/span><\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0645\u0633\u062a\u0634\u0641\u0649 \u0645\u0639\u064a\u0646 \u064a\u0634\u0647\u062f \u0645\u0639\u062f\u0644 \u0648\u0644\u0627\u062f\u062a\u064a\u0646 \u0641\u064a \u0627\u0644\u0633\u0627\u0639\u0629. \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0635\u064a\u063a\u0629 \u0623\u0639\u0644\u0627\u0647 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062d\u062f\u0648\u062b 0\u060c 1\u060c 2\u060c 3 \u0648\u0644\u0627\u062f\u0627\u062a\u060c \u0648\u0645\u0627 \u0625\u0644\u0649 \u0630\u0644\u0643. \u0641\u064a \u0633\u0627\u0639\u0629 \u0645\u0639\u064a\u0646\u0629:<\/span><\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>P(X=0)<\/strong> = 2 <sup>0<\/sup> * \u0647 <sup>\u2013 2<\/sup> \/ 0! = <strong>0.1353<\/strong><\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong style=\"color: #000000;\">P(X=1)<\/strong> <span style=\"color: #000000;\">= 2<\/span> <sup style=\"color: #000000;\">1<\/sup> <span style=\"color: #000000;\">* \u0647<\/span> <sup style=\"color: #000000;\">\u2013 2<\/sup> <span style=\"color: #000000;\">\/ 1! =<\/span> <strong style=\"color: #000000;\">0.2707<\/strong><\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong style=\"color: #000000;\">\u0639(X=2)<\/strong> <span style=\"color: #000000;\">= 2<\/span> <sup style=\"color: #000000;\">2<\/sup> <span style=\"color: #000000;\">* \u0647<\/span> <sup style=\"color: #000000;\">\u2013 2<\/sup> <span style=\"color: #000000;\">\/ 2! =<\/span> <strong style=\"color: #000000;\">0.2707<\/strong><\/li>\n<li style=\";text-align:right;direction:rtl\"> <strong style=\"color: #000000;\">\u0639(X=3)<\/strong> <span style=\"color: #000000;\">= 2<\/span> <sup style=\"color: #000000;\">3<\/sup> <span style=\"color: #000000;\">* \u0647<\/span> <sup style=\"color: #000000;\">\u2013 2<\/sup> <span style=\"color: #000000;\">\/ 3! =<\/span> <strong style=\"color: #000000;\">0.1805<\/strong><\/li>\n<\/ul>\n<h3 style=\";text-align:right;direction:rtl\"> <strong>\u0639\u0631\u0636 PMF<\/strong><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0627 \u0646\u062a\u0635\u0648\u0631 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062c\u0645\u0627\u0639\u064a\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a\u0629 \u0627\u0644\u0634\u0631\u064a\u0637\u064a\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u0648\u0636\u062d \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u0634\u0631\u064a\u0637\u064a \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0639\u062f\u062f \u0627\u0644\u0648\u0644\u0627\u062f\u0627\u062a \u0641\u064a \u0627\u0644\u0633\u0627\u0639\u0629 \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646 \u0627\u0644\u0645\u0648\u0636\u062d \u0641\u064a \u0627\u0644\u0645\u062b\u0627\u0644 \u0627\u0644\u0633\u0627\u0628\u0642:<\/span> <\/p>\n<p style=\";text-align:right;direction:rtl\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8131 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissondist1.png\" alt=\"\u0643\u064a\u0641\u064a\u0629 \u062a\u0635\u0648\u0631 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629\" width=\"490\" height=\"360\" srcset=\"\" sizes=\"\"><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u0644\u0627\u062d\u0638 \u0623\u0646 \u0639\u062f\u062f \u0627\u0644\u0648\u0644\u0627\u062f\u0627\u062a \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0645\u062a\u062f \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629\u060c \u0644\u0643\u0646 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u062a\u0635\u0628\u062d \u0635\u063a\u064a\u0631\u0629 \u062c\u062f\u064b\u0627 \u0628\u0639\u062f 10 \u0628\u062d\u064a\u062b \u0644\u0627 \u064a\u0645\u0643\u0646\u0643 \u062d\u062a\u0649 \u0631\u0624\u064a\u062a\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u0634\u0631\u064a\u0637\u064a.<\/span><\/p>\n<h3 style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>\u062e\u0635\u0627\u0626\u0635 PMF<\/strong><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\">\u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0644\u0647\u0627 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>1. \u0643\u0644 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0625\u064a\u062c\u0627\u0628\u064a\u0629 \u0641\u064a \u0627\u0644\u062a\u0623\u064a\u064a\u062f.<\/strong> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0633\u0642\u0648\u0637 \u062d\u062c\u0631 \u0627\u0644\u0646\u0631\u062f \u0628\u064a\u0646 1 \u06486 \u064a\u0643\u0648\u0646 \u0645\u0648\u062c\u0628\u064b\u0627\u060c \u0641\u064a \u062d\u064a\u0646 \u0623\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0623\u062e\u0631\u0649 \u064a\u0643\u0648\u0646 \u0635\u0641\u0631\u064b\u0627.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>2. \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0644\u0647\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u064a\u0646 0 \u06481.<\/strong> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0633\u0642\u0648\u0637 \u062d\u062c\u0631 \u0627\u0644\u0646\u0631\u062f \u0628\u064a\u0646 1 \u06486 \u0647\u0648 1\/6\u060c \u0623\u0648 0.1666666 \u0644\u0643\u0644 \u0646\u062a\u064a\u062c\u0629.<\/span><\/p>\n<p style=\";text-align:right;direction:rtl\"> <span style=\"color: #000000;\"><strong>3. \u0645\u062c\u0645\u0648\u0639 \u0643\u0644 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u064a\u062c\u0628 \u0623\u0646 \u064a\u0633\u0627\u0648\u064a 1.<\/strong> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0645\u062c\u0645\u0648\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0633\u0642\u0648\u0637 \u062d\u062c\u0631 \u0646\u0631\u062f \u0639\u0644\u0649 \u0631\u0642\u0645 \u0645\u0639\u064a\u0646 \u0647\u0648 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1. \/6 = 1.<\/span><\/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\"> <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\">\u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629\u061f<\/a><br \/> CDF \u0623\u0648 PDF: \u0645\u0627 \u0627\u0644\u0641\u0631\u0642\u061f<br \/> <a href=\"https:\/\/statorials.org\/ar\/\u0627\u0644\u062a\u0648\u0632\u064a\u0639-\u0630\u0648-\u0627\u0644\u062d\u062f\u064a\u0646-1\/\" target=\"_blank\" rel=\"noopener\">\u0645\u0642\u062f\u0645\u0629 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646<\/a><br \/> <a href=\"https:\/\/statorials.org\/ar\/\u062a\u0648\u0632\u064a\u0639-\u0627\u0644\u0627\u0654\u0633\u0645\u0627\u0643\/\" target=\"_blank\" rel=\"noopener\">\u0645\u0642\u062f\u0645\u0629 \u0644\u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u062a\u062e\u0628\u0631\u0646\u0627 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u060c \u0648\u0627\u0644\u062a\u064a \u063a\u0627\u0644\u0628\u064b\u0627 \u0645\u0627 \u064a\u062a\u0645 \u0627\u062e\u062a\u0635\u0627\u0631\u0647\u0627 \u0628\u0640 PMF \u060c \u0628\u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0623\u062e\u0630 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0627\u0644\u0645\u0646\u0641\u0635\u0644 \u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646\u0646\u0627 \u0623\u0644\u0642\u064a\u0646\u0627 \u062d\u062c\u0631 \u0627\u0644\u0646\u0631\u062f \u0645\u0631\u0629 \u0648\u0627\u062d\u062f\u0629. \u0625\u0630\u0627 \u062a\u0631\u0643\u0646\u0627 x \u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0630\u064a \u064a\u0642\u0639 \u0639\u0644\u064a\u0647 \u0627\u0644\u0646\u0631\u062f\u060c \u0641\u064a\u0645\u0643\u0646 \u0648\u0635\u0641 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u062a\u0643\u0648\u0646 x \u0645\u0633\u0627\u0648\u064a\u0629 \u0644\u0642\u064a\u0645 \u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a: \u0641(\u0633 = [&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>\u0645\u0627 \u0647\u064a \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062a\u0644\u0629 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