{"id":1494,"date":"2023-07-26T04:12:22","date_gmt":"2023-07-26T04:12:22","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%9d%87%e5%8c%80%e5%88%86%e5%b8%83\/"},"modified":"2023-07-26T04:12:22","modified_gmt":"2023-07-26T04:12:22","slug":"%e5%9d%87%e5%8c%80%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%9d%87%e5%8c%80%e5%88%86%e5%b8%83\/","title":{"rendered":"\u5747\u5300\u5206\u5e03\u7b80\u4ecb"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u5747\u5300\u5206\u5e03<\/strong>\u662f<em>a<\/em>\u5230<em>b<\/em>\u533a\u95f4\u5185\u7684\u6bcf\u4e2a\u503c\u51fa\u73b0\u7684\u6982\u7387\u76f8\u540c\u7684\u6982\u7387\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c<a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u53d8\u91cf-1\/\" target=\"_blank\" rel=\"noopener\">\u968f\u673a\u53d8\u91cf<\/a><em>X<\/em>\u670d\u4ece\u5747\u5300\u5206\u5e03\uff0c\u5219<em>X<\/em>\u53d6<em>x <sub>1<\/sub><\/em>\u548c<em>x<\/em> <sub>2<\/sub>\u4e4b\u95f4\u7684\u503c\u7684\u6982\u7387\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u6c42\u51fa\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x <sub>1<\/sub> &lt; X &lt; x <sub>2<\/sub> ) = (x <sub>2<\/sub> \u2013 x <sub>1<\/sub> ) \/ (b \u2013 a)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>1<\/sub> :<\/strong>\u8f83\u4f4e\u7684\u5229\u606f\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x <sub>2<\/sub> :<\/strong>\u5229\u606f\u4e0a\u9650\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>a\uff1a<\/strong>\u6700\u5c0f\u53ef\u80fd\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>b\uff1a<\/strong>\u6700\u5927\u53ef\u80fd\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6d77\u8c5a\u7684\u4f53\u91cd\u5747\u5300\u5206\u5e03\u5728 100 \u5230 150 \u78c5\u4e4b\u95f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u968f\u673a\u9009\u62e9\u4e00\u53ea\u6d77\u8c5a\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e0a\u9762\u7684\u516c\u5f0f\u6765\u786e\u5b9a\u6240\u9009\u6d77\u8c5a\u4f53\u91cd\u5728 120 \u5230 130 \u78c5\u4e4b\u95f4\u7684\u6982\u7387\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(120 &lt; X &lt; 130) = (130 \u2013 120) \/ (150 \u2013 100)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(120 &lt; X &lt; 130) = 10\/50<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(120 &lt; X &lt; 130) = <strong>0.2<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6240\u9009\u6d77\u8c5a\u4f53\u91cd\u5728 120 \u5230 130 \u78c5\u4e4b\u95f4\u7684\u6982\u7387\u662f<strong>0.2<\/strong> \u3002<\/span><\/p>\n<h3><strong>\u53ef\u89c6\u5316\u5747\u5300\u5206\u5e03<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u521b\u5efa\u5bc6\u5ea6\u56fe\u6765\u53ef\u89c6\u5316\u5747\u5300\u5206\u5e03\uff0c\u5b83\u5c06\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14806 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme1.png\" alt=\"\u5747\u5300\u5206\u5e03\" width=\"468\" height=\"296\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4e0b\u9650<em>a<\/em>\u548c\u4e0a\u9650<em>b<\/em>\u4e4b\u95f4\u7684\u6bcf\u4e2a\u503c\u90fd\u5177\u6709\u76f8\u540c\u7684\u51fa\u73b0\u6982\u7387\uff0c\u5e76\u4e14\u8d85\u51fa\u8fd9\u4e9b\u9650\u5236\u7684\u4efb\u4f55\u503c\u7684\u6982\u7387\u4e3a\u96f6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5728\u524d\u9762\u7684\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u8bf4\u6d77\u8c5a\u7684\u4f53\u91cd\u5747\u5300\u5206\u5e03\u5728 100 \u5230 150 \u78c5\u4e4b\u95f4\u3002\u4ee5\u4e0b\u662f\u5982\u4f55\u53ef\u89c6\u5316\u6b64\u5206\u5e03\u7684\u65b9\u6cd5\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14807 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme2.png\" alt=\"\" width=\"466\" height=\"309\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u968f\u673a\u9009\u62e9\u7684\u6d77\u8c5a\u4f53\u91cd\u5728 120 \u5230 130 \u78c5\u4e4b\u95f4\u7684\u6982\u7387\u53ef\u4ee5\u5982\u4e0b\u53ef\u89c6\u5316\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14808 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme3.png\" alt=\"\" width=\"464\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><strong>\u5747\u5300\u5206\u5e03\u7684\u6027\u8d28<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5747\u5300\u5206\u5e03\u5177\u6709\u4ee5\u4e0b\u6027\u8d28\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u503c\uff1a <strong>(a + b) \/ 2<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e2d\u4f4d\u6570\uff1a <strong>(a + b) \/ 2<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u6807\u51c6\u5dee\uff1a\u221a <strong><span style=\"border-top: 1px solid black;\">(b \u2013 a) <sup>2<\/sup> \/ 12<\/span><\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u5dee\u503c\uff1a <strong>(b \u2013 a) <sup>2<\/sup> \/ 12<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6d77\u8c5a\u7684\u4f53\u91cd\u5747\u5300\u5206\u5e03\u5728 100 \u5230 150 \u78c5\u4e4b\u95f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u8be5\u5206\u5e03\u7684\u4ee5\u4e0b\u5c5e\u6027\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u91cd\u91cf\uff1a(a+b)\/2=(150+100)\/2= <strong>125<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e2d\u4f4d\u6743\u91cd\uff1a(a + b) \/ 2 = (150 + 100) \/ 2 = <strong>125<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u91cd\u91cf\u6807\u51c6\u5dee\uff1a\u221a <span style=\"border-top: 1px solid black;\">(150 \u2013 100) <sup>2<\/sup> \/ 12<\/span> = <strong>14.43<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u91cd\u91cf\u53d8\u5316\uff1a(150 \u2013 100) <sup>2<\/sup> \/ 12 = <strong>208.33<\/strong><\/span><\/li>\n<\/ul>\n<h3><strong>\u7edf\u4e00\u5206\u914d\u5b9e\u8df5\u7684\u95ee\u9898<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u4ee5\u4e0b\u7ec3\u4e60\u9898\u6765\u6d4b\u8bd5\u60a8\u5bf9\u5747\u5300\u5206\u5e03\u7684\u4e86\u89e3\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u98981\uff1a<\/strong>\u6bcf20\u5206\u949f\u5c31\u6709\u4e00\u8f86\u516c\u4ea4\u8f66\u5230\u4e00\u4e2a\u516c\u4ea4\u8f66\u7ad9\u3002\u5982\u679c\u60a8\u5230\u8fbe\u516c\u4ea4\u8f66\u7ad9\uff0c\u516c\u4ea4\u8f66\u5728 8 \u5206\u949f\u6216\u66f4\u77ed\u65f6\u95f4\u5185\u5230\u8fbe\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u65b9\u6848\u4e00\uff1a<\/strong>\u6700\u77ed\u7b49\u5f85\u65f6\u95f4\u4e3a0\u5206\u949f\uff0c\u6700\u957f\u7b49\u5f85\u65f6\u95f4\u4e3a20\u5206\u949f\u3002\u5229\u606f\u4e0b\u9650\u4e3a 0 \u5206\u949f\uff0c\u5229\u606f\u4e0a\u9650\u4e3a 8 \u5206\u949f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u6982\u7387\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(0 &lt; X &lt; 8) = (8-0) \/ (20-0) = 8\/20 = <strong>0.4<\/strong> \u3002<\/span><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u98982\uff1a<\/strong>\u4e00\u573aNBA\u6bd4\u8d5b\u7684\u65f6\u957f\u5747\u5300\u5206\u5e03\u5728120\u5230170\u5206\u949f\u4e4b\u95f4\u3002\u968f\u673a\u9009\u62e9\u7684\u4e00\u573a NBA \u6bd4\u8d5b\u6301\u7eed\u65f6\u95f4\u8d85\u8fc7 155 \u5206\u949f\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u65b9\u68482\uff1a<\/strong>\u6700\u77ed\u65f6\u957f\u4e3a120\u5206\u949f\uff0c\u6700\u957f\u65f6\u957f\u4e3a170\u5206\u949f\u3002\u5229\u606f\u4e0b\u9650\u4e3a 155 \u5206\u949f\uff0c\u5229\u606f\u4e0a\u9650\u4e3a 170 \u5206\u949f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u6982\u7387\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(155 &lt; X &lt; 170) = (170-155) \/ (170-120) = 15\/50 = <strong>0.3<\/strong> \u3002<\/span><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u98983\uff1a<\/strong>\u67d0\u79cd\u9752\u86d9\u7684\u4f53\u91cd\u5747\u5300\u5206\u5e03\u572815\u514b\u523025\u514b\u4e4b\u95f4\u3002\u5982\u679c\u4f60\u968f\u673a\u9009\u62e9\u4e00\u53ea\u9752\u86d9\uff0c\u5b83\u7684\u91cd\u91cf\u5728 17 \u5230 19 \u514b\u4e4b\u95f4\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u65b9\u68483\uff1a<\/strong>\u6700\u5c0f\u91cd\u91cf\u4e3a15\u514b\uff0c\u6700\u5927\u91cd\u91cf\u4e3a25\u514b\u3002\u5229\u606f\u4e0b\u9650\u4e3a17\u514b\uff0c\u5229\u606f\u4e0a\u9650\u4e3a19\u514b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u6982\u7387\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(17 &lt; X &lt; 19) = (19-17) \/ (25-15) = 2\/10 = <strong>0.2<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8\u610f\uff1a<\/strong>\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u5747\u5300\u5206\u5e03\u8ba1\u7b97\u5668\u6765\u68c0\u67e5\u6bcf\u4e2a\u95ee\u9898\u7684\u7b54\u6848\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5747\u5300\u5206\u5e03\u662fa\u5230b\u533a\u95f4\u5185\u7684\u6bcf\u4e2a\u503c\u51fa\u73b0\u7684\u6982\u7387\u76f8\u540c\u7684\u6982\u7387\u5206\u5e03\u3002 \u5982\u679c\u968f\u673a\u53d8\u91cfX\u670d\u4ece\u5747\u5300\u5206\u5e03\uff0c\u5219X\u53d6x 1\u548cx 2\u4e4b\u95f4 [&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":[],"class_list":["post-1494","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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