8. A citizens action committee in NJ is comprised of six Democrats, eight Republicans, and three Conservatives. a) If one member is randomly selected, find the probability of getting a Conservative. b) If one member is selected at random, find the probability of getting a Republican or a Conservative. c) If two different people are selected at random from this committee, find the probability that they are both Democrats. 9. According to the Census Bureau (2019) 22% of New Jersey residents are under 18 year of age. If 12 New Jersey residents are selected at random, find the probability that exactly five of them are under 18. (Use the appropriate formula to find the probability) 10. Seventy-five percent of diners at a restaurant gave an 'excellent' review. If you randomly select 5 diners and ask each for their review, find the probability that a) at least four diners give 'excellent' reviews. b) at most 2 diners give 'excellent' reviews. c) all of the diners give 'excellent' reviews. 11. Surveys at a local coffee shop show that 80% of customers order some kind of coffee drink. If 15 customers are in the store now find the probability that a) none order a coffee drink. b) all order a coffee drink. c) at least 10 order a coffee drink. d) no more than 4 order a coffee drink 12. A local elementary school principal knows she needs substitute teachers to cover classes this week. The table at right is based on school data for X P(x) number of subs used in prior weeks. number of subs a) Sketch a histogram for the probability distribution. 0 116 b) Find the expected value of subs (mean) for this distribution. 1 432 c) Locate the mean on the x axis of your histogram. 2 188 3 200 4 .064