{"id":2102,"date":"2023-07-23T16:13:31","date_gmt":"2023-07-23T16:13:31","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d1%83%d0%bc%d0%be%d0%b2%d0%bd%d0%b0-%d0%b8%d0%bc%d0%be%d0%b2%d1%96%d1%80%d0%bd%d1%96%d1%81%d1%82%d1%8c-%d1%83-python\/"},"modified":"2023-07-23T16:13:31","modified_gmt":"2023-07-23T16:13:31","slug":"%d1%83%d0%bc%d0%be%d0%b2%d0%bd%d0%b0-%d0%b8%d0%bc%d0%be%d0%b2%d1%96%d1%80%d0%bd%d1%96%d1%81%d1%82%d1%8c-%d1%83-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d1%83%d0%bc%d0%be%d0%b2%d0%bd%d0%b0-%d0%b8%d0%bc%d0%be%d0%b2%d1%96%d1%80%d0%bd%d1%96%d1%81%d1%82%d1%8c-%d1%83-python\/","title":{"rendered":"\u042f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0443\u043c\u043e\u0432\u043d\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0443 python"},"content":{"rendered":"

<\/p>\n

\n

\u0423\u043c\u043e\u0432\u043d\u0430 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c<\/strong> \u043d\u0430\u0441\u0442\u0430\u043d\u043d\u044f \u043f\u043e\u0434\u0456\u0457 A<\/em> , \u0432\u0440\u0430\u0445\u043e\u0432\u0443\u044e\u0447\u0438, \u0449\u043e \u043f\u043e\u0434\u0456\u044f B<\/em> \u0432\u0456\u0434\u0431\u0443\u043b\u0430\u0441\u044f, \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u0442\u044c\u0441\u044f \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u043c \u0447\u0438\u043d\u043e\u043c:<\/span><\/p>\n

P(A|B) = P(A\u2229B) \/ P(B)<\/span><\/p>\n

\u0437\u043e\u043b\u043e\u0442\u043e:<\/span><\/p>\n

P(A\u2229B) = \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0449\u043e \u043f\u043e\u0434\u0456\u0457 A<\/em> \u0442\u0430 B<\/em> \u0432\u0456\u0434\u0431\u0443\u0434\u0443\u0442\u044c\u0441\u044f.<\/span><\/p>\n

P(B) = \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0449\u043e \u043f\u043e\u0434\u0456\u044f B \u0432\u0456\u0434\u0431\u0443\u0434\u0435\u0442\u044c\u0441\u044f.<\/span><\/p>\n

\u0423 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u043e\u043c\u0443 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0443\u043c\u043e\u0432\u043d\u0438\u0445 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439 \u0443 Python.<\/span><\/p>\n

\u041f\u0440\u0438\u043a\u043b\u0430\u0434: \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0443\u043c\u043e\u0432\u043d\u043e\u0457 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456 \u0432 Python<\/strong><\/span><\/h3>\n

\u041f\u0440\u0438\u043f\u0443\u0441\u0442\u0456\u043c\u043e, \u043c\u0438 \u043d\u0430\u0434\u0456\u0448\u043b\u0435\u043c\u043e \u043e\u043f\u0438\u0442\u0443\u0432\u0430\u043d\u043d\u044f 300 \u043b\u044e\u0434\u044f\u043c \u0456\u0437 \u0437\u0430\u043f\u0438\u0442\u0430\u043d\u043d\u044f\u043c, \u044f\u043a\u043e\u043c\u0443 \u0432\u0438\u0434\u0443 \u0441\u043f\u043e\u0440\u0442\u0443 \u0432\u043e\u043d\u0438 \u0432\u0456\u0434\u0434\u0430\u044e\u0442\u044c \u043f\u0435\u0440\u0435\u0432\u0430\u0433\u0443: \u0431\u0435\u0439\u0441\u0431\u043e\u043b\u0443, \u0431\u0430\u0441\u043a\u0435\u0442\u0431\u043e\u043b\u0443, \u0444\u0443\u0442\u0431\u043e\u043b\u0443 \u0447\u0438 \u0444\u0443\u0442\u0431\u043e\u043b\u0443.<\/span><\/p>\n

\u041c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0441\u0442\u0432\u043e\u0440\u0438\u0442\u0438 \u0442\u0430\u043a\u0443 \u0442\u0430\u0431\u043b\u0438\u0446\u044e \u043d\u0430 Python \u0434\u043b\u044f \u0437\u0431\u0435\u0440\u0456\u0433\u0430\u043d\u043d\u044f \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0435\u0439 \u043d\u0430 \u043e\u043f\u0438\u0442\u0443\u0432\u0430\u043d\u043d\u044f:<\/span><\/p>\n

 import<\/span> pandas as<\/span> pd\nimport<\/span> numpy as<\/span> np\n\n#create pandas DataFrame with raw data\n<\/span>df = pd. DataFrame<\/span> ({' gender<\/span> ': np. repeat<\/span> (np. array<\/span> (['Male', 'Female']), 150),\n                   ' sport<\/span> ': np. repeat<\/span> (np. array<\/span> (['Baseball', 'Basketball', 'Football',\n                                                'Soccer', 'Baseball', 'Basketball',\n                                                'Football', 'Soccer']), \n                                    (34, 40, 58, 18, 34, 52, 20, 44))})\n\n#produce contingency table to summarize raw data\n<\/span>survey_data = pd. crosstab<\/span> (index=df[' gender<\/span> '], columns=df[' sport<\/span> '], margins= True<\/span> )\n\n#view contingency table\n<\/span>survey_data\n\nsport Baseball Basketball Football Soccer All\ngender\t\t\t\t\t\nFemale 34 52 20 44 150\nMale 34 40 58 18 150\nAll 68 92 78 62 300<\/span><\/strong><\/pre>\n
 \u041f\u043e\u0432\u2019\u044f\u0437\u0430\u043d\u0435<\/strong> : \u042f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 pd.crosstab() \u0434\u043b\u044f \u0441\u0442\u0432\u043e\u0440\u0435\u043d\u043d\u044f \u0442\u0430\u0431\u043b\u0438\u0446\u044c \u043d\u0435\u043f\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0443\u0432\u0430\u043d\u043e\u0441\u0442\u0456 \u0432 Python<\/a><\/span><\/p>\n
 \u041c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0442\u0430\u043a\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441, \u0449\u043e\u0431 \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0437 \u043c\u0430\u0441\u0438\u0432\u0443:<\/span><\/p>\n
 #extract value in second row and first column \n<\/span>survey_data. iloc<\/span> [1, 0]\n\n[1] 34\n<\/span><\/strong><\/pre>\n
 \u041c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441, \u0449\u043e\u0431 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0449\u043e \u043e\u0441\u043e\u0431\u0430 \u0447\u043e\u043b\u043e\u0432\u0456\u0447\u043e\u0457 \u0441\u0442\u0430\u0442\u0456, \u0432\u0440\u0430\u0445\u043e\u0432\u0443\u044e\u0447\u0438, \u0449\u043e \u0432\u043e\u043d\u0430 \u0432\u0456\u0434\u0434\u0430\u0454 \u043f\u0435\u0440\u0435\u0432\u0430\u0433\u0443 \u0431\u0435\u0439\u0441\u0431\u043e\u043b\u0443 \u044f\u043a \u0441\u0432\u043e\u0454\u043c\u0443 \u0443\u043b\u044e\u0431\u043b\u0435\u043d\u043e\u043c\u0443 \u0432\u0438\u0434\u0443 \u0441\u043f\u043e\u0440\u0442\u0443:<\/span><\/p>\n
 #calculate probability of being male, given that individual prefers baseball<\/span>\nsurvey_data. iloc<\/span> [1, 0]\/survey_data. iloc<\/span> [2, 0]\n\n0.5\n<\/span><\/strong><\/pre>\n
 \u0406 \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438 \u0442\u0430\u043a\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441, \u0449\u043e\u0431 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0449\u043e \u043b\u044e\u0434\u0438\u043d\u0430 \u0432\u0456\u0434\u0434\u0430\u0454 \u043f\u0435\u0440\u0435\u0432\u0430\u0433\u0443 \u0431\u0430\u0441\u043a\u0435\u0442\u0431\u043e\u043b\u0443 \u044f\u043a \u0441\u0432\u043e\u0454\u043c\u0443 \u0443\u043b\u044e\u0431\u043b\u0435\u043d\u043e\u043c\u0443 \u0432\u0438\u0434\u0443 \u0441\u043f\u043e\u0440\u0442\u0443, \u0432\u0440\u0430\u0445\u043e\u0432\u0443\u044e\u0447\u0438, \u0449\u043e \u0432\u043e\u043d\u0430 \u0436\u0456\u043d\u043a\u0430:<\/span><\/p>\n
 #calculate probability of preferring basketball, given that individual is female<\/span>\nsurvey_data. iloc<\/span> [0,1]\/survey_data. iloc<\/span> [0, 4]\n\n0.3466666666666667\n<\/span><\/strong><\/pre>\n
 \u041c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u0435\u0439 \u0431\u0430\u0437\u043e\u0432\u0438\u0439 \u043f\u0456\u0434\u0445\u0456\u0434, \u0449\u043e\u0431 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0431\u0443\u0434\u044c-\u044f\u043a\u0443 \u0443\u043c\u043e\u0432\u043d\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c, \u044f\u043a\u0443 \u043c\u0438 \u0445\u043e\u0447\u0435\u043c\u043e, \u0437 \u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u043d\u0435\u043f\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0443\u0432\u0430\u043d\u043e\u0441\u0442\u0456.<\/span><\/p>\n
 \u0414\u043e\u0434\u0430\u0442\u043a\u043e\u0432\u0456 \u0440\u0435\u0441\u0443\u0440\u0441\u0438<\/strong><\/span><\/h3>\n
 \u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0456 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a\u0438 \u043d\u0430\u0434\u0430\u044e\u0442\u044c \u0434\u043e\u0434\u0430\u0442\u043a\u043e\u0432\u0443 \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u044e \u043f\u0440\u043e \u043a\u0435\u0440\u0443\u0432\u0430\u043d\u043d\u044f \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044e:<\/span><\/p>\n
 \u0417\u0430\u043a\u043e\u043d \u043f\u043e\u0432\u043d\u043e\u0457 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456<\/a>
 \u042f\u043a \u0437\u043d\u0430\u0439\u0442\u0438 \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439<\/a>
 \u042f\u043a \u0437\u043d\u0430\u0439\u0442\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"
\u0423\u043c\u043e\u0432\u043d\u0430 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u043d\u0430\u0441\u0442\u0430\u043d\u043d\u044f \u043f\u043e\u0434\u0456\u0457 A , \u0432\u0440\u0430\u0445\u043e\u0432\u0443\u044e\u0447\u0438, \u0449\u043e \u043f\u043e\u0434\u0456\u044f B \u0432\u0456\u0434\u0431\u0443\u043b\u0430\u0441\u044f, \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u0442\u044c\u0441\u044f \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u043c \u0447\u0438\u043d\u043e\u043c: P(A|B) = P(A\u2229B) \/ P(B) \u0437\u043e\u043b\u043e\u0442\u043e: P(A\u2229B) = \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0449\u043e \u043f\u043e\u0434\u0456\u0457 A \u0442\u0430 B \u0432\u0456\u0434\u0431\u0443\u0434\u0443\u0442\u044c\u0441\u044f. P(B) = \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0442\u043e\u0433\u043e, \u0449\u043e \u043f\u043e\u0434\u0456\u044f B \u0432\u0456\u0434\u0431\u0443\u0434\u0435\u0442\u044c\u0441\u044f. \u0423 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u043e\u043c\u0443 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e, \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0443\u043c\u043e\u0432\u043d\u0438\u0445 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439 \u0443 Python. \u041f\u0440\u0438\u043a\u043b\u0430\u0434: \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0443\u043c\u043e\u0432\u043d\u043e\u0457 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"\n\u042f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0443\u043c\u043e\u0432\u043d\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0443 Python - \u0421\u0442\u0430\u0442\u043e\u043b\u043e\u0433\u0456\u044f<\/title>\n<meta name=\"description\" content=\"\u0426\u0435\u0439 \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454, \u044f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0443\u043c\u043e\u0432\u043d\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0443 Python, \u043d\u0430 \u043a\u0456\u043b\u044c\u043a\u043e\u0445 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0430\u0445.\" \/>\n<meta name=\"robots\" content=\"index, follow, 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