{"id":55401,"date":"2021-10-03T21:05:15","date_gmt":"2021-10-03T21:05:15","guid":{"rendered":"https:\/\/papersspot.com\/blog\/2021\/10\/03\/2-stats-and-prob-question-held-needed\/"},"modified":"2021-10-03T21:05:15","modified_gmt":"2021-10-03T21:05:15","slug":"2-stats-and-prob-question-held-needed","status":"publish","type":"post","link":"https:\/\/papersspot.com\/blog\/2021\/10\/03\/2-stats-and-prob-question-held-needed\/","title":{"rendered":"2 Stats and Prob question held needed"},"content":{"rendered":"<p>4. A company is planning to introduce to the market a new brand of soft drink. The<br \/> dispensing machine fills the bottles with a volume following normal distribution with mean<br \/> \u00b5 = 20 ounces and standard deviation \u03c3 = .5 ounces. <br \/>a. What is the probability that a randomly selected bottle from the production line contains<br \/> more than 20.8 ounces of drinks? <br \/>b. A state regulation requires that the company labels each bottle showing the volume (in<br \/> ounces) of soft drinks in the marketed bottles, and that no more than 2% of the bottles<br \/> should contain less than the volume printed on the label. What volume should the company<br \/> print on the label in order to comply with the regulation? (Round your answer to 1 decimal<br \/> after the decimal point.) <br \/>5. The following game is offered in a casino. An employee flips a coin 12 times, but the<br \/> player does not see the outcomes of these coin flips. After each flip of the coin the player has<br \/> to guess whether the coin turned up head or tail. At the end the player receives k dollars,<br \/> where k is the number of correct guesses, except that if she guesses all 12 coin flips correctly,<br \/> then she will receive an additional 10,000 dollars (so in that case the total reward will be<br \/> 10, 000 12 = 10, 012 dollars). Calculate the expected amount of winnings in this game <\/p>\n","protected":false},"excerpt":{"rendered":"<p>4. A company is planning to introduce to the market a new brand of soft drink. The dispensing machine fills the bottles with a volume following normal distribution with mean \u00b5 = 20 ounces and standard deviation \u03c3 = .5 ounces. a. What is the probability that a randomly selected bottle from the production line [&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":[31],"class_list":["post-55401","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-statistics"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/55401","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=55401"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/55401\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=55401"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=55401"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=55401"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}