1110 CHAPTER 11 Further Topics in Algebra U.S. House of Representatives In the U.S. House of Representatives, the number of representatives from each state is proportional to the state’s population. California (the most populous state) has 53 representatives, whereas Wyoming (the least populous state) has just 1 representative. The table gives the percentage of states having various numbers of representatives in the current House of Representatives. Number of Representatives 1 2–7 8–15 715 Percent of States (as a decimal) 0.14 0.44 0.28 0.14 Data from www.house.gov Using the percents as probabilities, find the probability that, out of 10 states selected at random, the following are true. 33. Exactly 4 states have 2–7 representatives. 34. Exactly 2 states have just one representative. 35. Fewer than 2 states have 8 or more representatives. 36. No more than 3 states have 2–15 representatives. Age of E-book Readers The table gives the age breakdown of U.S. residents who have read at least one e-book as of January 2018. Age of E-book Reader 18–29 30–49 50–64 65+ Percent (as a decimal) 0.34 0.31 0.20 0.15 Data from Pew Research Center. Using the percents as probabilities, find the probability of each event for a randomly selected e-book reader. 37. The e-book reader is younger than 50 yr old. 38. The e-book reader is at least 30 yr old. 39. The e-book reader is older than 49 yr old. 40. The e-book reader is not older than 64 yr old. Solve each problem. 41. Color-Blind Males The probability that a male will be color-blind is 0.042. Find the probabilities that in a group of 53 men, the following are true. (a) Exactly 5 are color-blind. (b) No more than 5 are color-blind. (c) None are color-blind. (d) At least 1 is color-blind. 42. The screens illustrate how the table feature of a graphing calculator can be used to find the probabilities of having 0, 1, 2, 3, or 4 girls in a family of 4 children. (Note that 0 appears for values of x greater than 4 because these events are impossible.)
RkJQdWJsaXNoZXIy NjM5ODQ=