{"id":535,"date":"2020-07-18T18:48:52","date_gmt":"2020-07-18T22:48:52","guid":{"rendered":"https:\/\/openbooks.macewan.ca\/rcommander\/?post_type=part&#038;p=535"},"modified":"2022-07-18T18:47:14","modified_gmt":"2022-07-18T22:47:14","slug":"chapter-4-discrete-random-variables","status":"publish","type":"part","link":"https:\/\/openbooks.macewan.ca\/introstats\/part\/chapter-4-discrete-random-variables\/","title":{"raw":"Chapter 4:  Discrete Random Variables","rendered":"Chapter 4:  Discrete Random Variables"},"content":{"raw":"<h2>Overview<\/h2>\r\nThis chapter introduces the basic concepts of discrete random variables including their probability distributions, means, and standard deviations. We describe in detail one of the most important discrete probability distribution: the binomial distribution.\r\n<div class=\"textbox textbox--learning-objectives\"><header class=\"textbox__header\">\r\nLearning Objectives\r\n<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nAs a result of completing this chapter, you will be able to do the following:\r\n<ul>\r\n \t<li>Determine the probability distribution of a discrete random variable.<\/li>\r\n \t<li>Calculate the mean (expected value) and standard deviation of a discrete random variable based on its probability distribution.<\/li>\r\n \t<li>Identify situations where the binomial distribution can be applied.<\/li>\r\n \t<li>Calculate the probabilities of events using\u00a0the binomial probability formula, if applicable.<\/li>\r\n \t<li>Calculate the mean and standard deviation of a random variable that follows the binomial distribution.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n","rendered":"<h2>Overview<\/h2>\n<p>This chapter introduces the basic concepts of discrete random variables including their probability distributions, means, and standard deviations. We describe in detail one of the most important discrete probability distribution: the binomial distribution.<\/p>\n<div class=\"textbox textbox--learning-objectives\">\n<header class=\"textbox__header\">\nLearning Objectives<br \/>\n<\/header>\n<div class=\"textbox__content\">\n<p>As a result of completing this chapter, you will be able to do the following:<\/p>\n<ul>\n<li>Determine the probability distribution of a discrete random variable.<\/li>\n<li>Calculate the mean (expected value) and standard deviation of a discrete random variable based on its probability distribution.<\/li>\n<li>Identify situations where the binomial distribution can be applied.<\/li>\n<li>Calculate the probabilities of events using\u00a0the binomial probability formula, if applicable.<\/li>\n<li>Calculate the mean and standard deviation of a random variable that follows the binomial distribution.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n","protected":false},"parent":0,"menu_order":4,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-535","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts\/535","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":3,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts\/535\/revisions"}],"predecessor-version":[{"id":3318,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts\/535\/revisions\/3318"}],"wp:attachment":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/media?parent=535"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/contributor?post=535"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/license?post=535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}