{"id":234,"date":"2023-08-03T19:36:43","date_gmt":"2023-08-03T19:36:43","guid":{"rendered":"https:\/\/statorials.org\/ar\/%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-1\/"},"modified":"2023-08-03T19:36:43","modified_gmt":"2023-08-03T19:36:43","slug":"%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-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%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-1\/","title":{"rendered":"\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a"},"content":{"rendered":"

\u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0627\u0644\u0645\u0642\u0635\u0648\u062f \u0628\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0648\u0641\u064a\u0645 \u064a\u064f\u0633\u062a\u062e\u062f\u0645. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0633\u062a\u062c\u062f \u0645\u0627 \u0647\u064a \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0635\u064a\u063a\u0647 \u0648\u0631\u0633\u0645\u0647 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0648\u062a\u062f\u0631\u064a\u0628 \u0645\u062d\u0644\u0648\u0644. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u062d\u0633\u0627\u0628 \u0623\u064a \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0639\u0628\u0631 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a. <\/p>\n

<\/span> \u0645\u0627 \u0647\u0648 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a\u061f<\/span><\/h2>\n

\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/strong> \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u064a \u0645\u0633\u062a\u0645\u0631 \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u0646\u0645\u0630\u062c\u0629 \u0648\u0642\u062a \u0627\u0644\u0627\u0646\u062a\u0638\u0627\u0631 \u0644\u062d\u062f\u0648\u062b \u0638\u0627\u0647\u0631\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629.<\/p>\n

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\u27a4<\/span> \u0627\u0646\u0638\u0631:<\/strong> \u0645\u0627 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0628\u0648\u0627\u0633\u0648\u0646\u061f<\/a><\/div>\n

\u064a\u062d\u062a\u0648\u064a \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0639\u0644\u0649 \u0645\u0639\u0644\u0645\u0629 \u0645\u0645\u064a\u0632\u0629\u060c \u0645\u0645\u062b\u0644\u0629 \u0628\u0627\u0644\u062d\u0631\u0641 \u0627\u0644\u064a\u0648\u0646\u0627\u0646\u064a \u03b1 \u0648\u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0639\u062f\u062f \u0627\u0644\u0645\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u0645\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0623\u0646 \u064a\u062d\u062f\u062b \u0641\u064a\u0647\u0627 \u0627\u0644\u062d\u062f\u062b \u0627\u0644\u0645\u062f\u0631\u0648\u0633 \u062e\u0644\u0627\u0644 \u0641\u062a\u0631\u0629 \u0632\u0645\u0646\u064a\u0629 \u0645\u0639\u064a\u0646\u0629.<\/p>\n

\n

\"X\\sim<\/p>\n<\/p>\n

\u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0623\u064a\u0636\u064b\u0627 \u0644\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0648\u0642\u062a \u062d\u062a\u0649 \u062d\u062f\u0648\u062b \u0627\u0644\u0641\u0634\u0644. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0644\u0647 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u0648\u062b\u0648\u0642\u064a\u0629 \u0648\u0627\u0644\u0628\u0642\u0627\u0621. <\/p>\n

<\/span> \u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0623\u0633\u064a\u0629<\/span><\/h2>\n

\u0627\u0644\u0622\u0646 \u0628\u0639\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0644\u0642\u064a \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 \u0639\u062f\u0629 \u0623\u0645\u062b\u0644\u0629 \u0644\u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0644\u0641\u0647\u0645 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0623\u0641\u0636\u0644.<\/p>\n

\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a:<\/u><\/strong><\/p>\n

    \n
  1. \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u0645\u0646\u0642\u0636\u064a \u0628\u064a\u0646 \u0645\u0643\u0627\u0644\u0645\u062a\u064a\u0646 \u0641\u064a \u0645\u0631\u0643\u0632 \u0627\u0644\u0627\u062a\u0635\u0627\u0644.<\/span><\/li>\n
  2. \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u0630\u064a \u064a\u062c\u0628 \u0639\u0644\u0649 \u0627\u0644\u0634\u062e\u0635 \u0627\u0646\u062a\u0638\u0627\u0631\u0647 \u062d\u062a\u0649 \u0645\u0631\u0648\u0631 \u0633\u064a\u0627\u0631\u0629 \u0623\u062c\u0631\u0629 \u0645\u062c\u0627\u0646\u064a\u0629 \u0641\u064a \u0634\u0627\u0631\u0639 \u0645\u0639\u064a\u0646.<\/span><\/li>\n
  3. \u0648\u0642\u062a \u0627\u0644\u0627\u0646\u062a\u0638\u0627\u0631 \u062d\u062a\u0649 \u064a\u062f\u062e\u0644 \u0639\u0645\u064a\u0644 \u062c\u062f\u064a\u062f \u0625\u0644\u0649 \u0627\u0644\u0645\u062a\u062c\u0631.<\/span><\/li>\n
  4. \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u0645\u0646\u0642\u0636\u064a \u0628\u064a\u0646 \u062f\u062e\u0648\u0644 \u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646 \u0625\u0644\u0649 \u0635\u0641\u062d\u0629 \u0627\u0644\u0648\u064a\u0628.<\/span><\/li>\n
  5. \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u0645\u0646\u0642\u0636\u064a \u0641\u064a \u0627\u0644\u0645\u0637\u0627\u0631 \u0628\u064a\u0646 \u0625\u0642\u0644\u0627\u0639 \u0637\u0627\u0626\u0631\u0629 \u0648\u0645\u063a\u0627\u062f\u0631\u0629 \u0623\u062e\u0631\u0649.<\/span> <\/li>\n<\/ol>\n

    <\/span> \u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/span><\/h2>\n

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    \u0628\u0645\u0639\u0646\u0649 \u0622\u062e\u0631\u060c \u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/strong> \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a: <\/p>\n

    \"\u0635\u064a\u063a\u0629<\/figure>\n

    \ud83d\udc49 \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0623\u062f\u0646\u0627\u0647 \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062c\u0648\u062f \u0645\u062a\u063a\u064a\u0631 \u064a\u062a\u0628\u0639 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a.<\/u><\/p>\n

    \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0635\u064a\u063a\u0629 \u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0647\u064a \u0643\u0645\u0627 \u064a\u0644\u064a: <\/p>\n

    \n

    \"P[X\\leq<\/p>\n<\/p>\n

    <\/span> \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/span><\/h2>\n

    \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0642\u0633\u0645 \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645\u064a \u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0648\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a.<\/p>\n

    \u064a\u0645\u0643\u0646\u0643 \u0623\u062f\u0646\u0627\u0647 \u0623\u0646 \u062a\u0631\u0649 \u0643\u064a\u0641 \u064a\u062e\u062a\u0644\u0641 \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0644\u0648\u0638\u064a\u0641\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 lect. <\/p>\n

    \"\u0627\u0644\u0631\u0633\u0645<\/figure>\n

    \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u062a\u0639\u062a\u0645\u062f \u062f\u0627\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0623\u064a\u0636\u064b\u0627 \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 lect\u060c \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n

    \"\u0627\u0644\u0631\u0633\u0645<\/figure>\n

    <\/span> \u062d\u0644 \u062a\u0645\u0631\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/span><\/h2>\n
      \n
    • \u0641\u064a \u0627\u0644\u0645\u062a\u0648\u0633\u0637\u060c \u064a\u0635\u0644 1=1 \u0645\u0633\u062a\u062e\u062f\u0645\/\u062f\u0642\u064a\u0642\u0629 \u0625\u0644\u0649 \u0635\u0641\u062d\u0629 \u0648\u064a\u0628 \u0645\u062d\u062f\u062f\u0629. \u0645\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u0648\u0642\u062a \u0628\u064a\u0646 \u062f\u062e\u0648\u0644 \u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 3 \u062f\u0642\u0627\u0626\u0642\u061f \u0648\u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646\u0647\u0627 \u062a\u0633\u0627\u0648\u064a \u0623\u0648 \u062a\u0642\u0644 \u0639\u0646 \u062f\u0642\u064a\u0642\u062a\u064a\u0646\u061f<\/li>\n<\/ul>\n

      \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062f \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a \u0644\u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0647\u0648 \u062a\u0648\u0632\u064a\u0639 \u0623\u0633\u064a\u060c \u062d\u064a\u062b \u0623\u0646\u0646\u0627 \u0646\u062f\u0631\u0633 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0630\u064a \u064a\u0645\u0631 \u0645\u0646 \u0644\u062d\u0638\u0629 \u0648\u0642\u0648\u0639 \u062d\u062f\u062b \u0645\u0627 (\u062f\u062e\u0648\u0644 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645 \u0625\u0644\u0649 \u0635\u0641\u062d\u0629 \u0627\u0644\u0648\u064a\u0628) \u062d\u062a\u0649 \u062d\u062f\u0648\u062b \u0646\u0641\u0633 \u0647\u0630\u0627 \u0627\u0644\u062d\u062f\u062b \u0645\u0631\u0629 \u0623\u062e\u0631\u0649.<\/p>\n

      \n

      \"X\\sim<\/p>\n<\/p>\n

      \u0644\u0630\u0644\u0643\u060c \u0644\u062d\u0633\u0627\u0628 \u0627\u062d\u062a\u0645\u0627\u0644 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u0648\u0642\u062a \u0627\u0644\u0645\u0646\u0642\u0636\u064a \u0628\u064a\u0646 \u062f\u062e\u0648\u0644 \u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646 \u062b\u0644\u0627\u062b \u062f\u0642\u0627\u0626\u0642\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 (\u0627\u0646\u0638\u0631 \u0623\u0639\u0644\u0627\u0647):<\/p>\n

      \n

      \"\\begin{aligned}P[X=x]&=\\lambda<\/p>\n<\/p>\n

      \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u064a\u063a\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a: <\/p>\n

      \n

      \"\\begin{aligned}P[X\\leq<\/p>\n<\/p>\n

      <\/span> \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/span><\/h2>\n

      \u064a\u062a\u0645\u064a\u0632 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0628\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n

        \n
      • \u064a\u062d\u062a\u0648\u064a \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0639\u0644\u0649 \u0645\u0639\u0644\u0645\u0629 \u0645\u0645\u064a\u0632\u0629\u060c \u060c \u0648\u0627\u0644\u062a\u064a \u062a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0639\u062f\u062f \u0627\u0644\u0645\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u0645\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0623\u0646 \u062a\u062d\u062f\u062b \u0641\u064a\u0647\u0627 \u0627\u0644\u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0645\u062f\u0631\u0648\u0633\u0629 \u062e\u0644\u0627\u0644 \u0641\u062a\u0631\u0629 \u0632\u0645\u0646\u064a\u0629 \u0645\u0639\u064a\u0646\u0629.<\/li>\n<\/ul>\n

        \n

        \"X\\sim<\/p>\n<\/p>\n

          \n
        • \u0644\u0627 \u064a\u0645\u0643\u0646 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0623\u0646 \u064a\u0623\u062e\u0630 \u0642\u064a\u0645\u0629 \u0633\u0627\u0644\u0628\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0645\u062c\u0627\u0644 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0627\u0644\u0623\u0643\u0628\u0631 \u0645\u0646 \u0623\u0648 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0635\u0641\u0631.<\/li>\n<\/ul>\n

          \n

          \"x\\in<\/p>\n<\/p>\n

            \n
          • \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u064a\u0633\u0627\u0648\u064a \u0648\u0627\u062d\u062f\u064b\u0627 \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 \u0627\u0644\u0645\u0645\u064a\u0632\u0629 lect.<\/li>\n<\/ul>\n

            \n

            \"E[X]=\\cfrac{1}{\\lambda}\"<\/p>\n<\/p>\n

              \n
            • \u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0647\u0648 \u0645\u0631\u0628\u0639 \u0645\u062a\u0648\u0633\u0637\u0647\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u062a\u0628\u0627\u064a\u0646 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u064a\u0639\u0627\u062f\u0644 \u0648\u0627\u062d\u062f\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u0645\u0644 lect \u0645\u0631\u0628\u0639.<\/li>\n<\/ul>\n

              \n

              \"Var(X)=\\cfrac{1}{\\lambda^2<\/p>\n<\/p>\n

                \n
              • \u0645\u0647\u0645\u0627 \u0643\u0627\u0646\u062a \u0642\u064a\u0645\u0629 \u03c0\u060c \u0641\u0625\u0646 \u0645\u0639\u0627\u0645\u0644 \u0639\u062f\u0645 \u0627\u0644\u062a\u0645\u0627\u062b\u0644 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u064a\u0633\u0627\u0648\u064a \u062f\u0627\u0626\u0645\u064b\u0627 2.<\/li>\n<\/ul>\n

                \n

                \"A=2\"<\/p>\n<\/p>\n

                  \n
                • \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0641\u0625\u0646 \u0645\u0639\u0627\u0645\u0644 \u0627\u0644\u062a\u0641\u0631\u0637\u062d \u0644\u0623\u064a \u062a\u0648\u0632\u064a\u0639 \u0623\u0633\u064a \u064a\u0633\u0627\u0648\u064a \u062f\u0627\u0626\u0645\u064b\u0627 9.<\/li>\n<\/ul>\n

                  \n

                  \"C=9\"<\/p>\n<\/p>\n

                    \n
                  • \u0635\u064a\u063a\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u0643\u062b\u0627\u0641\u0629 \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0647\u064a:<\/li>\n<\/ul>\n

                    \n

                    \"P[X=x]=\\lambda<\/p>\n<\/p>\n

                      \n
                    • \u0628\u064a\u0646\u0645\u0627 \u062a\u0643\u0648\u0646 \u0635\u064a\u063a\u0629 \u062f\u0627\u0644\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062a\u0631\u0627\u0643\u0645\u064a \u0644\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0643\u0645\u0627 \u064a\u0644\u064a:<\/li>\n<\/ul>\n

                      \n

                      \"P[X\\leq<\/p>\n<\/p>\n

                        \n
                      • \u064a\u0639\u062f \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0623\u062d\u062f \u0627\u0644\u062a\u0648\u0632\u064a\u0639\u0627\u062a \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u0642\u0644\u064a\u0644\u0629 \u0627\u0644\u062a\u064a \u062a\u062a\u0645\u062a\u0639 \u0628\u062e\u0627\u0635\u064a\u0629 \u0646\u0641\u0627\u062f \u0627\u0644\u0630\u0627\u0643\u0631\u0629. \u0648\u062a\u0639\u0646\u064a \u0647\u0630\u0647 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0623\u0646 \u0648\u0642\u0648\u0639 \u062d\u062f\u062b \u0633\u0627\u0628\u0642 \u0644\u0627 \u064a\u0624\u062b\u0631 \u0639\u0644\u0649 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0648\u0642\u0648\u0639 \u0630\u0644\u0643 \u0627\u0644\u062d\u062f\u062b \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u064a \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a\u060c \u0644\u0627 \u064a\u0639\u062a\u0645\u062f \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u0635\u0648\u0644 \u0645\u0633\u062a\u062e\u062f\u0645 \u062c\u062f\u064a\u062f \u0625\u0644\u0649 \u0635\u0641\u062d\u0629 \u0648\u064a\u0628 \u0641\u064a \u0623\u0642\u0644 \u0645\u0646 \u062f\u0642\u064a\u0642\u0629 \u0639\u0644\u0649 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645 \u0642\u062f \u062f\u062e\u0644 \u0644\u0644\u062a\u0648 \u0623\u0648 \u0644\u0645 \u064a\u062f\u062e\u0644 \u0623\u064a \u0645\u0633\u062a\u062e\u062f\u0645 \u0645\u0646\u0630 \u0630\u0644\u0643 \u0627\u0644\u062d\u064a\u0646. \u0623\u0643\u062b\u0631 \u0645\u0646 \u0639\u0634\u0631 \u062f\u0642\u0627\u0626\u0642. <\/li>\n<\/ul>\n

                        \n

                        \"P[Xx+y|X>y]=P[X>x]” title=”Rendered by QuickLaTeX.com” height=”19″ width=”254″ style=”vertical-align: -5px;”><\/p>\n<\/p>\n

                        <\/span> \u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a<\/span><\/h2>\n

                        \u0623\u062f\u062e\u0644 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\u0629 lect<\/em> \u0648\u0642\u064a\u0645\u0629 x<\/em> \u0641\u064a \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644. \u062a\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0631\u064a\u062f \u062d\u0633\u0627\u0628\u0647\u0627 \u0648\u0625\u062f\u062e\u0627\u0644 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0646\u0642\u0637\u0629 \u0643\u0641\u0627\u0635\u0644 \u0639\u0634\u0631\u064a\u060c \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644 0.50.<\/p>\n

                        \n
                        \u27a4<\/strong><\/span> \u0645\u0639\u0644\u0645\u0629 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u2192<\/strong><\/span><\/p>\n

                        \"\\lambda<\/p>\n

                        <\/span> <\/div>\n

                        \u27a4<\/strong><\/span> \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0644\u062d\u0633\u0627\u0628: <\/div>\n
                        <\/p>\n

                        \"X=\"<\/p>\n

                        <\/div>\n

                        <\/p>\n

                        \"X\\leq\"<\/p>\n

                        <\/div>\n

                        <\/p>\n

                        \"X\\geq\"<\/p>\n

                        <\/div>\n

                        <\/p>\n

                        \"\\leq<\/p>\n

                        <\/div>\n

                        <\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"

                        \u062a\u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0627\u0644\u0645\u0642\u0635\u0648\u062f \u0628\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0648\u0641\u064a\u0645 \u064a\u064f\u0633\u062a\u062e\u062f\u0645. \u0648\u0628\u0627\u0644\u0645\u062b\u0644\u060c \u0633\u062a\u062c\u062f \u0645\u0627 \u0647\u064a \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0623\u0633\u064a \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0635\u064a\u063a\u0647 \u0648\u0631\u0633\u0645\u0647 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0648\u062a\u062f\u0631\u064a\u0628 \u0645\u062d\u0644\u0648\u0644. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u0648\u0641 \u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 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