{"id":461,"date":"2023-07-29T20:18:10","date_gmt":"2023-07-29T20:18:10","guid":{"rendered":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-dbinom-pbinom-qbinom-rbinom\/"},"modified":"2023-07-29T20:18:10","modified_gmt":"2023-07-29T20:18:10","slug":"r-%e4%b8%ad%e7%9a%84-dbinom-pbinom-qbinom-rbinom","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-dbinom-pbinom-qbinom-rbinom\/","title":{"rendered":"R \u4e2d\u7684 dbinom\u3001pbinom\u3001qbinom \u548c rbinom \u6307\u5357"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u901a\u8fc7<strong>dbinom<\/strong> \u3001 <strong>pbinom<\/strong> \u3001 <strong>qbinom<\/strong>\u548c<strong>rbinom<\/strong>\u51fd\u6570\u5728 R \u4e2d\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u9879\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u4e8c\u9879\u5f0f\u5206\u5e03<\/a>\u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u5fb7\u6bd4\u8bfa\u59c6<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\"><b>dbinom<\/b>\u51fd\u6570\u8fd4\u56de\u7ed9\u5b9a\u4e00\u4e9b\u968f\u673a\u53d8\u91cf<em>x<\/em> \u3001\u8bd5\u9a8c\u6b21\u6570 (size) \u4ee5\u53ca\u6bcf\u6b21\u8bd5\u9a8c\u6210\u529f\u6982\u7387 (prob) \u7684\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u6982\u7387\u5bc6\u5ea6\u51fd\u6570 (pdf) \u503c\u3002\u4f7f\u7528 dbinom \u7684\u8bed\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">dbinom(x, \u5927\u5c0f, \u6982\u7387)<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u7b80\u5355\u6765\u8bf4\uff0c <b>dbinom<\/b>\u6c42\u5f97\u83b7\u5f97\u4e00\u5b9a\u6570\u91cf\u7684\u6982\u7387<em>&nbsp;<\/em>\u5728\u4e00\u5b9a\u6570\u91cf\u7684\u8bd5\u9a8c<strong>\uff08\u5927\u5c0f\uff09<\/strong>\u4e2d\u6210\u529f<strong>\uff08x\uff09<\/strong> \uff0c\u5176\u4e2d\u6bcf\u6b21\u8bd5\u9a8c\u6210\u529f\u7684\u6982\u7387\u662f\u56fa\u5b9a\u7684<strong>\uff08prob\uff09<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u8bf4\u660e\u5982\u4f55\u4f7f\u7528 dbinom \u89e3\u51b3\u4e00\u4e9b\u6982\u7387\u95ee\u9898\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1a<\/strong><em>\u9c8d\u52c3\u7684\u7f5a\u7403\u547d\u4e2d\u7387\u4e3a 60%\u3002\u5982\u679c\u4ed6\u7f5a\u7403 12 \u6b21\uff0c\u4ed6\u7f5a\u4e2d 10 \u6b21\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/em><\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find the probability of 10 successes during 12 trials where the probability of\n#success on each trial is 0.6<\/span>\ndbinom(x=10, size=12, prob=.6)\n#[1]0.06385228\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ed6\u6070\u597d\u6295\u4e2d 10 \u6b21\u7684\u6982\u7387\u662f<strong>0.0639<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1a<\/strong> <em>Sasha \u629b\u4e00\u679a\u5747\u5300\u7684\u786c\u5e01 20 \u6b21\u3002\u786c\u5e01\u6070\u597d\u51fa\u73b0 7 \u4e2a\u6b63\u9762\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/em><\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find the probability of 7 successes during 20 trials where the probability of\n#success on each trial is 0.5\n<\/span>dbinom(x=7, size=20, prob=.5)\n#[1]0.07392883\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u786c\u5e01\u51fa\u73b0 7 \u6b21\u6b63\u9762\u671d\u4e0a\u7684\u6982\u7387\u662f<strong>0.0739<\/strong> \u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u666e\u6bd4\u8bfa\u59c6<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\"><b>pbinom<\/b>\u51fd\u6570\u8fd4\u56de\u7ed9\u5b9a\u67d0\u4e2a\u968f\u673a\u53d8\u91cf<em>q<\/em> \u3001\u8bd5\u9a8c\u6b21\u6570 (size) \u548c\u6bcf\u6b21\u8bd5\u9a8c\u6210\u529f\u6982\u7387 (prob) \u7684\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u7d2f\u79ef\u5bc6\u5ea6\u51fd\u6570 (cdf) \u7684\u503c\u3002\u4f7f\u7528 pbinom \u7684\u8bed\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">pbinom(q, \u5927\u5c0f, \u6982\u7387)<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u7b80\u5355\u6765\u8bf4\uff0c <b>pbinom<\/b>\u8fd4\u56de\u7ed9\u5b9a<em>q<\/em>\u503c\u5de6\u4fa7\u7684\u9762\u79ef<em>&nbsp;<\/em>\u5728\u4e8c\u9879\u5206\u5e03\u4e2d\u3002\u5982\u679c\u60a8\u5bf9\u7ed9\u5b9a<em>q<\/em>\u503c\u53f3\u4fa7\u7684\u533a\u57df\u611f\u5174\u8da3\uff0c\u60a8\u53ef\u4ee5\u7b80\u5355\u5730\u6dfb\u52a0\u53c2\u6570<strong>lower.tail = FALSE<\/strong><\/span><\/p>\n<p style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">pbinom(q, \u5927\u5c0f, \u6982\u7387, lower.tail = FALSE)<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u8bf4\u660e\u5982\u4f55\u4f7f\u7528 pbinom \u89e3\u51b3\u4e00\u4e9b\u6982\u7387\u95ee\u9898\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1a<\/strong><em>\u5b89\u85e4\u629b\u4e00\u679a\u5747\u5300\u7684\u786c\u5e01 5 \u6b21\u3002\u786c\u5e01\u6b63\u9762\u671d\u4e0a\u4e24\u6b21\u4ee5\u4e0a\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/em><\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find the probability of more than 2 successes during 5 trials where the\n#probability of success on each trial is 0.5<\/span>\npbinom(2, size=5, prob=.5, lower.tail=FALSE)\n# <span style=\"color: #008080;\"><span style=\"color: #000000;\">[1] 0.5<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u786c\u5e01\u6b63\u9762\u671d\u4e0a\u4e24\u6b21\u4ee5\u4e0a\u7684\u6982\u7387\u662f<strong>0.5<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1a<\/strong><em>\u5047\u8bbe\u6cf0\u52d2\u5728\u6bd4\u8d5b\u65f6\u6709 30% \u7684\u51fa\u624b\u547d\u4e2d\u7387\u3002\u5982\u679c\u4ed6\u6253 10 \u6b21\uff0c\u4ed6\u51fb\u4e2d 4 \u6b21\u6216\u66f4\u5c11\u7684\u6982\u7387\u662f\u591a\u5c11\uff1f<\/em><\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find the probability of 4 or fewer successes during 10 trials where the\n#probability of success on each trial is 0.3<\/span>\npbinom(4, size=10, prob=.3)\n# <span style=\"color: #008080;\"><span style=\"color: #000000;\">[1]0.8497317<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ed6\u5f97\u5206 4 \u6b21\u6216\u66f4\u5c11\u7684\u6982\u7387\u4e3a<strong>0.8497<\/strong> \u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u683c\u6bd4\u8bfa\u59c6<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\"><b>qbinom<\/b>\u51fd\u6570\u8fd4\u56de\u7ed9\u5b9a\u67d0\u4e2a\u968f\u673a\u53d8\u91cf<em>q<\/em> \u3001\u8bd5\u9a8c\u6b21\u6570 (size) \u548c\u6bcf\u6b21\u8bd5\u9a8c\u6210\u529f\u6982\u7387 (prob) \u7684\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u9006\u7d2f\u79ef\u5bc6\u5ea6\u51fd\u6570 (cdf) \u7684\u503c\u3002\u4f7f\u7528 qbinom \u7684\u8bed\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">qbinom(q, \u5927\u5c0f, \u6982\u7387)<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u7b80\u5355\u6765\u8bf4\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528<strong>qbinom<\/strong>\u627e\u51fa\u4e8c\u9879\u5f0f\u5206\u5e03\u7684<sup>\u7b2c p \u5206<\/sup>\u4f4d\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u6f14\u793a\u4e86<b>qbinom<\/b>\u7684\u4e00\u4e9b\u5b9e\u9645\u5e94\u7528\u793a\u4f8b\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find the 10th quantile of a binomial distribution with 10 trials and prob\n#of success on each trial = 0.4\n<\/span>qbinom(.10, size=10, prob=.4)\n# [1] 2\n\n<span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#find the 40th quantile of a binomial distribution with 30 trials and prob\n#of success on each trial = 0.25<\/span>\nqbinom(.40, size=30, prob=.25)\n# [1] 7\n<\/span><\/span><\/strong><\/pre>\n<h2><strong><span style=\"color: #000000;\">\u5c14\u6bd4\u8bfa\u59c6<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\"><b>rbinom<\/b>\u51fd\u6570\u751f\u6210\u4e00\u4e2a\u4e8c\u9879\u5f0f\u5206\u5e03\u968f\u673a\u53d8\u91cf\u7684\u5411\u91cf\uff0c\u7ed9\u5b9a\u5411\u91cf\u957f\u5ea6<em>n<\/em> \u3001\u8bd5\u9a8c\u6b21\u6570 (size) \u4ee5\u53ca\u6bcf\u6b21\u8bd5\u9a8c\u7684\u6210\u529f\u6982\u7387 (prob)\u3002\u4f7f\u7528 rbinom \u7684\u8bed\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">rbinom(n, \u5927\u5c0f, \u6982\u7387)<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u6f14\u793a\u4e86<strong>rnorm<\/strong>\u7684\u4e00\u4e9b\u5b9e\u9645\u793a\u4f8b\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#generate a vector that shows the number of successes of 10 binomial experiments with\n#100 trials where the probability of success on each trial is 0.3.\n<\/span>results &lt;- rbinom(10, size=100, prob=.3)\nresults\n# [1] 31 29 28 30 35 30 27 39 30 28\n\n<span style=\"color: #008080;\">#find mean number of successes in the 10 experiments (compared to expected<\/span>\n<span style=\"color: #008080;\">#mean of 30)<\/span><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #000000;\">\nmean(results)\n# [1] 32.8\n\n<\/span><span style=\"color: #008080;\">#generate a vector that shows the number of successes of 1000 binomial experiments\n#with 100 trials where the probability of success on each trial is 0.3.\n<span style=\"color: #000000;\">results &lt;- rbinom(1000, size=100, prob=.3)<\/span>\n\n#find mean number of successes in the 100 experiments (compared to expected\n#mean of 30)\n<span style=\"color: #000000;\">mean(results)<\/span>\n<span style=\"color: #000000;\"># [1] 30.105\n<\/span><\/span><\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u6211\u4eec\u521b\u5efa\u7684\u968f\u673a\u53d8\u91cf\u8d8a\u591a\uff0c\u5e73\u5747\u6210\u529f\u6b21\u6570\u5c31\u8d8a\u63a5\u8fd1\u9884\u671f\u6210\u529f\u6b21\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>\u6ce8\uff1a\u201c\u9884\u671f\u6210\u529f\u6b21\u6570\u201d= <strong>n<\/strong> * <strong>p<\/strong> \uff0c\u5176\u4e2d<strong>n<\/strong>\u662f\u8bd5\u9a8c\u6b21\u6570\uff0c <strong>p<\/strong>\u662f\u6bcf\u6b21\u8bd5\u9a8c\u6210\u529f\u7684\u6982\u7387\u3002<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u901a\u8fc7dbinom \u3001 pbinom \u3001 qbinom\u548crbinom\u51fd\u6570\u5728 R \u4e2d\u4f7f\u7528\u4e8c\u9879\u5f0f\u5206\u5e03\u3002 [&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-461","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\/ -->\n<title>R \u4e2d\u7684 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