{"id":1267,"date":"2021-08-23T18:31:37","date_gmt":"2021-08-23T18:31:37","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=1267"},"modified":"2022-01-26T23:06:05","modified_gmt":"2022-01-26T23:06:05","slug":"introduction-to-probability-distribution-function-pdf-for-a-discrete-random-variable","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-probability-distribution-function-pdf-for-a-discrete-random-variable\/","title":{"raw":"Introduction to Probability Distribution Function (PDF) for a Discrete Random Variable","rendered":"Introduction to Probability Distribution Function (PDF) for a Discrete Random Variable"},"content":{"raw":"<h2>What you\u2019ll learn to do: given a random variable, create a discrete probability distribution<\/h2>\r\n<img class=\"alignright wp-image-1268 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/23183012\/pexels-valeria-boltneva-1805164-200x300.jpg\" alt=\"a dog sitting on a white carpet rug\" width=\"200\" height=\"300\" \/>How many dogs are owned by a household? It could be 0, 1, 2, 3, or more. If we find the percentage or probability associated with each value, we have created a probability distribution function for a discrete random variable. In this section, you will learn about properties of probability distribution functions for discrete random variables; and in future sections, we will look at other types of probability distribution functions.","rendered":"<h2>What you\u2019ll learn to do: given a random variable, create a discrete probability distribution<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-1268 size-medium\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/23183012\/pexels-valeria-boltneva-1805164-200x300.jpg\" alt=\"a dog sitting on a white carpet rug\" width=\"200\" height=\"300\" \/>How many dogs are owned by a household? It could be 0, 1, 2, 3, or more. If we find the percentage or probability associated with each value, we have created a probability distribution function for a discrete random variable. In this section, you will learn about properties of probability distribution functions for discrete random variables; and in future sections, we will look at other types of probability distribution functions.<\/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-1267\">\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>Brown and White Short Coated Puppy. <strong>Authored by<\/strong>: Valeria Boltneva. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/brown-and-white-short-coated-puppy-1805164\/\">https:\/\/www.pexels.com\/photo\/brown-and-white-short-coated-puppy-1805164\/<\/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":7,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Brown and White Short Coated Puppy\",\"author\":\"Valeria Boltneva\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/brown-and-white-short-coated-puppy-1805164\/\",\"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-1267","chapter","type-chapter","status-publish","hentry"],"part":240,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1267","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":2,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1267\/revisions"}],"predecessor-version":[{"id":3503,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1267\/revisions\/3503"}],"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\/1267\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=1267"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1267"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=1267"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=1267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}