{"id":72224,"date":"2021-11-08T10:37:09","date_gmt":"2021-11-08T10:37:09","guid":{"rendered":"https:\/\/papersspot.com\/blog\/2021\/11\/08\/a-fair-quarter-is-tossed-until-it-comes-up-heads-suppose-x-is-the-number-of-tosses-necessary-if\/"},"modified":"2021-11-08T10:37:09","modified_gmt":"2021-11-08T10:37:09","slug":"a-fair-quarter-is-tossed-until-it-comes-up-heads-suppose-x-is-the-number-of-tosses-necessary-if","status":"publish","type":"post","link":"https:\/\/papersspot.com\/blog\/2021\/11\/08\/a-fair-quarter-is-tossed-until-it-comes-up-heads-suppose-x-is-the-number-of-tosses-necessary-if\/","title":{"rendered":"A fair quarter is tossed until it comes up heads; suppose X is the number of tosses necessary. If&#8230;"},"content":{"rendered":"<p>Description <br \/> A fair quarter is tossed until it comes up heads; suppose X is the number of tosses necessary. If X = x, then x fair pennies are tossed; let Y denote the number of heads on the pennies. Find P(Y = 3), simplifying the result as much as you can. <br \/> The coin loaded so as to come up heads 1\/3 of the time is tossed until a head appears. This is followed by the toss of a coin loaded so as to come up heads with a probability of 1\/4 until that coin comes up heads. <br \/>(a) Find the probability distribution of Z, the total number of tosses necessary. <br \/>(b) Find the mean and variance of Z. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Description A fair quarter is tossed until it comes up heads; suppose X is the number of tosses necessary. If X = x, then x fair pennies are tossed; let Y denote the number of heads on the pennies. Find P(Y = 3), simplifying the result as much as you can. The coin loaded so [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[10],"class_list":["post-72224","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-writing"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/72224","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=72224"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/72224\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=72224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=72224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=72224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}