{"id":6408,"date":"2026-07-07T13:50:13","date_gmt":"2026-07-07T18:50:13","guid":{"rendered":"https:\/\/www.eastcentral.edu\/learning-center\/?page_id=6408"},"modified":"2026-07-07T15:26:39","modified_gmt":"2026-07-07T20:26:39","slug":"binomial-probability-calculator-rules","status":"publish","type":"page","link":"https:\/\/www.eastcentral.edu\/learning-center\/binomial-probability-calculator-rules\/","title":{"rendered":"Binomial Probability Calculator Rules"},"content":{"rendered":"\n

Binomial Distributions<\/h2>\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n\n
\n
\"Â鶹Éç<\/a>
If you need more help, please contact The Learning Center<\/figcaption><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"

Binomial Distributions<\/p>\n","protected":false},"author":12,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","footnotes":""},"class_list":["post-6408","page","type-page","status-publish","hentry"],"yoast_head":"\nBinomial Probability Calculator Rules - Learning Center<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.eastcentral.edu\/learning-center\/binomial-probability-calculator-rules\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Binomial Probability Calculator Rules - Learning Center\" \/>\n<meta property=\"og:description\" content=\"Binomial Distributions\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.eastcentral.edu\/learning-center\/binomial-probability-calculator-rules\/\" \/>\n<meta property=\"og:site_name\" content=\"Learning Center\" \/>\n<meta property=\"article:modified_time\" content=\"2026-07-07T20:26:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.eastcentral.edu\/learning-center\/wp-content\/uploads\/sites\/27\/2025\/05\/image.jpeg\" \/>\n\t<meta property=\"og:image:width\" content=\"602\" \/>\n\t<meta property=\"og:image:height\" content=\"455\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.eastcentral.edu\\\/learning-center\\\/binomial-probability-calculator-rules\\\/\",\"url\":\"https:\\\/\\\/www.eastcentral.edu\\\/learning-center\\\/binomial-probability-calculator-rules\\\/\",\"name\":\"Binomial Probability Calculator Rules - 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\n Conditions\n <\/th>\n\n \n Key Phrases\n <\/th>\n\n \n Probability\n <\/th>\n\n \n Calculator Input\n <\/th>\n\n \n Equations\n <\/th>\n<\/tr>\n\n
\n\u2022 Simple Random Sample

\n\u2022 Independent Trials

\n\u2022 Only Two Possible Outcomes

\n\u2022 Probability of Success = p

\n\u2022 Number of Trials = n\n<\/td>\n\n		\n\u2022 Exactly x\n<\/td>\n\n\nP(X = x)<\/i>\n<\/td>\n\n\n\u2022 2nd<\/sup> > Vars
\n\u2022 A: binompdf\n<\/td>\n\n		\nbinpdf\n<\/td>\n\n\nn,p,x\n<\/td>\n\n\n\u2022 \u03bc = np

\n\n\u2022 \u03c32<\/sup> = np(1 \u2212 p)

\n\n\u2022 \u03c3 =\n\n \u221a<\/span>\n \n np(1 \u2212 p)\n <\/span>\n<\/span>\n<\/td>\n\n<\/tr>\n\n
\n\u2022 At most x
\n\u2022 x or fewer
\n\u2022 x or less
\n\u2022 No more than x\n<\/td>\n\n		\nP(X \u2264 x)<\/i>\n<\/td>\n\n\n\u2022 2nd<\/sup> > Vars
\n\u2022 B: binomcdf\n<\/td>\n\n		\nbincdf\n<\/td>\n\n\nn,p,x\n<\/td>\n\n<\/tr>\n\n
\n\u2022 Less than x
\n\u2022 Fewer than x\n<\/td>\n\n		\nP(X < x)<\/i>\n<\/td>\n\n\nbincdf\n<\/td>\n\n\nn,p,(x-1)\n<\/td>\n\n<\/tr>\n\n
\n\u2022 Greater than x
\n\u2022 More than x\n<\/td>\n\n		\nP(X > x)<\/i>\n<\/td>\n\n\n1-bincdf\n<\/td>\n\n\nn,p,x\n<\/td>\n\n<\/tr>\n\n
\n\u2022 At least x
\n\u2022 x or more
\n\u2022 No less than x\n<\/td>\n\n		\nP(X \u2265 x)<\/i>\n<\/td>\n\n\n1-bincdf\n<\/td>\n\n\nn,p,(x-1)\n<\/td>\n\n<\/tr>\n\n<\/table>\n\n