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 of 2013 were iOS: http://www.gartner.comewsroom/id/2573415 If 30 smartphones sold in the second quarter of 2013 are randomly selected: a) Find the probability that less than 5 are iOS. b) 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% of all 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. b) 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