{"id":1280,"date":"2021-08-23T19:02:57","date_gmt":"2021-08-23T19:02:57","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=1280"},"modified":"2022-01-28T20:57:59","modified_gmt":"2022-01-28T20:57:59","slug":"introduction-to-binomial-distribution","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-binomial-distribution\/","title":{"raw":"Introduction to Binomial Distribution","rendered":"Introduction to Binomial Distribution"},"content":{"raw":"<h2>What you\u2019ll learn to do: understand and calculate binomial distributions<\/h2>\r\n<img class=\"alignright wp-image-1281 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/23185838\/pexels-laura-garcia-3617852-300x211.jpg\" alt=\"Photo Of Man Carrying Newborn Baby\" width=\"300\" height=\"211\" \/>If a family has 4 children, what is the probability that the family will have exactly 2 boys? Would it be unusual to have 0 boys in a family of 4 children? To answer these questions, you need to understand what a Bernoulli trial is and how to calculate a binomial probability. Calculating the mean and standard deviation for this situation helps you to understand what is a typical value and what is an unusual value for the number of boys in a family with 4 children.","rendered":"<h2>What you\u2019ll learn to do: understand and calculate binomial distributions<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-1281 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/23185838\/pexels-laura-garcia-3617852-300x211.jpg\" alt=\"Photo Of Man Carrying Newborn Baby\" width=\"300\" height=\"211\" \/>If a family has 4 children, what is the probability that the family will have exactly 2 boys? Would it be unusual to have 0 boys in a family of 4 children? To answer these questions, you need to understand what a Bernoulli trial is and how to calculate a binomial probability. Calculating the mean and standard deviation for this situation helps you to understand what is a typical value and what is an unusual value for the number of boys in a family with 4 children.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-1280\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li><strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Photo Of Man Carrying Newborn Baby. <strong>Authored by<\/strong>: Laura Garcia. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/photo-of-man-carrying-newborn-baby-3617852\/\">https:\/\/www.pexels.com\/photo\/photo-of-man-carrying-newborn-baby-3617852\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":13,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Photo Of Man Carrying Newborn Baby\",\"author\":\"Laura Garcia\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/photo-of-man-carrying-newborn-baby-3617852\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1280","chapter","type-chapter","status-publish","hentry"],"part":240,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1280","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1280\/revisions"}],"predecessor-version":[{"id":3553,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1280\/revisions\/3553"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/240"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1280\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=1280"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1280"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=1280"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=1280"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}