{"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
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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":""},"yst_prominent_words":[],"class_list":["post-6408","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6408","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/comments?post=6408"}],"version-history":[{"count":10,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6408\/revisions"}],"predecessor-version":[{"id":6436,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6408\/revisions\/6436"}],"wp:attachment":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/media?parent=6408"}],"wp:term":[{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/yst_prominent_words?post=6408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

\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