{"id":1288,"date":"2021-08-23T19:34:29","date_gmt":"2021-08-23T19:34:29","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=1288"},"modified":"2022-01-28T21:25:35","modified_gmt":"2022-01-28T21:25:35","slug":"introduction-to-geometric-distribution","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-geometric-distribution\/","title":{"raw":"Introduction to Geometric Distribution","rendered":"Introduction to Geometric Distribution"},"content":{"raw":"<h2>What you\u2019ll learn to do: understand and calculate geometric probabilities<\/h2>\r\n<img class=\"alignright wp-image-1289 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/23193223\/pexels-andrea-piacquadio-4867670-300x196.jpg\" alt=\"2 Girls Sitting on Chair one is younger and the other os older and is holding a phone\" width=\"300\" height=\"196\" \/>A couple has decided to keep having children until they have a girl. At that point, they will stop having children.\u00a0 What is the probability they will have one child? What is the probability that they would not have a girl until the fourth child? And if many couples did this, how many children would there be on average for all the couples? To be able to answer questions like these, you need to understand how to calculate geometric probabilities and the mean and standard deviation of a geometric random variable.","rendered":"<h2>What you\u2019ll learn to do: understand and calculate geometric probabilities<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-1289 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/23193223\/pexels-andrea-piacquadio-4867670-300x196.jpg\" alt=\"2 Girls Sitting on Chair one is younger and the other os older and is holding a phone\" width=\"300\" height=\"196\" \/>A couple has decided to keep having children until they have a girl. At that point, they will stop having children.\u00a0 What is the probability they will have one child? What is the probability that they would not have a girl until the fourth child? And if many couples did this, how many children would there be on average for all the couples? To be able to answer questions like these, you need to understand how to calculate geometric probabilities and the mean and standard deviation of a geometric random variable.<\/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-1288\">\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>2 Girls Sitting on Chair. <strong>Authored by<\/strong>: Andrea Piacquadio. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/2-girls-sitting-on-chair-4867670\/\">https:\/\/www.pexels.com\/photo\/2-girls-sitting-on-chair-4867670\/<\/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":17,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"2 Girls Sitting on Chair\",\"author\":\"Andrea Piacquadio\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/2-girls-sitting-on-chair-4867670\/\",\"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-1288","chapter","type-chapter","status-publish","hentry"],"part":240,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1288","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":4,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1288\/revisions"}],"predecessor-version":[{"id":3565,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1288\/revisions\/3565"}],"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\/1288\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=1288"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1288"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=1288"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=1288"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}