Week 5 Homework Chapters Twelve and Thirteen Note: Please show some work when performing any calculations, otherwise you will not be able to receive partial credit. (tie. lfyoa claim that the probability is (0.65)3 = 0.25 when it is actually 0.274625, 1 eoaltir not give you any credit ifyoa only say that the probability is 0.25) 1} Your list of favorite songs contains 10 rock songs, "i rap songs and 3 country songs. a) (1 point) What is the probability that a randomly played song is a rap song? b) (1 point) What is the probability that a randomly played song is not country? 2} If 1 point each} A 2010 survey by the National Center for Health Statistics found that 49% of adults ages 25-29 had only a cell phone and no landline. If we randomly select four 25-29 year olds: a} What is the probability that all of these adults have only a cell phone and no landline? b) What is the probability that none of these adults have only a cell phone and no landline? e) What is the probability that at least one of these adults has only a cell phone and no landline'? 3} (1 point each} For each of the following, list the sample space and tell whether you think the events are equally likely: a} Roll two dice; record the sum of the numbers. b) Toss four coins; record the total number of tails. c) Toss a coin 10 times; record the length of the longest run of heads