Assignment #34)ch C:/L|sel. sus,'Dr::l/lmlDads/Assignment'h'l)E . 0 * a Apps .1 Email > VouTube . Maps 'V. Waici'thlllakrSeas... El Readlngllst E Assignment islpdf i Eli 1, (8 points) A press release from Gartner indicates that 79.0% of all Smartphones sold in the second quarter of 2013 were Android, and 14.2% of all smartphones sold in the second quarter of2013 were iOS: http://www.gartner.comewsroom/id/ZS73415 If 30 smartphones sold in the second quarter of 2013 are randomly selected: a) Find the probability that less than 5 are iOS. bl Find the probability that 20 or 21 are Android. c) Find the probability that at least 28 are Android. d) Find the probability that exactly 3 have an operating system that is not iOS and not Android. 2. (6 points) An email spam filter manufacturer claims that after filtering incoming email, 89% ofall filtered email messages will be real emails (not spam). A user installs this spam filter and begins to check email. a) If a user checks 10 emails find the probability that exactly two emails are spam. bi If a user checks 10 emails find the probability that at least 9 emails are real. c) If a user checks 10 emails find the probability that no more than 2 emails are real? 3. (4 points) For each scenario below, is the bolded probability distribution appropriate? Explain why or why not by considering the conditions for each probability distribution. You DO NOT need to calculate the probabilities. a) In a batch of computer chips, 8.4% are defective, 10 computer chips are randomly selected without replacement. The binomial distribution is used the calculate the probability that exactly 2 ofthe chips are defective. b) 72% percent of cell phone users use their cell phones to access the Internet. A random sample of 10 cell phone users is selected with replacement. The binomial distribution is used to calculate the probability that at least 2 cell phone users use their phone to access the internet. Assignment #3.pdr x c :r:-: C:/L|s us,'Dr::wnlDad5,4'Assignment'l'r'32i) :1! " 717 0 * 5 ,.' Apps .4 Email > YmiTube ~ Maps 'v_ WEILHGMIBKVSEBSH. E Readinglist E Assignment lpdf 4. (4 points) The following table represents patents granted and/or registered in Canada For a specific year organized by product output (type) and nationality of the applicant. Patents Trademarks Copyrights Canada 1461 14273 6862 Foreign 12092 15507 788 Total 13553 29780 7650 Select an output at random and find the probability that the output is: a) A trademark b) Registered in Canada given that it is a trademark. c) Either a foreign patent or a foreign copyright. d) A copyright given that it is registered in a foreign country. 5. (3 points) In the Arizona lottery called Pick 3, a player pays $1 and then picks a three-digit number. If those three numbers are picked in that specific order the person wins $500. What is the expected value in this game. (Hint: 3 numbers can only be chosen from 10 numbers i.e. from 0 to 9)