Determine whether the events are independent and give a reason. 57) According to

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Determine whether the events are independent and give a reason. 57) According to a survey, 8% of students at a college are left handed, 53% are female, and 4.24% are both female and left handed. Is being left handed independent of gender? Explain. A) No, 8% of all students are left handed but 4.24% of female students are left handed. These are not equal B) No, 4.24% of students are both female and left handed C) Yes, P(left handed) - P(left handed and female) D) Yes, 8% of all students are left handed and 8% of female students are left handed. E) No, because P(L and F) * P(L) . P(F) Use a tree diagram to find the indicated probability. 58) A high school offers these statistics 22% of incoming students come from single-parent homes 78% of incoming students come from two parent homes 46% of incoming students from single parent homes eventually go on to get a college education. 60% of incoming students from two parent homes eventually go on to get a college education. What percent of incoming students eventually go on to get a college education? A) 46.8% B) 53% C) 10.12% D) 46% E) 56.92% 59) A high school offers these statistics 59% of incoming students come from single-parent homes 41% of incoming students come from two parent homes 25% of incoming students from single parent homes eventually go on to get a college education. 41% of incoming students from two parent homes eventually go on to get a college education. What percent of students who eventually go on to get a college education come from single parent families? A)25% B) 46.7% C)87 7% D) 59% E) 53.3% Find the expected value of the random variable. 60) The number of golf balls ordered by customers of a pro shop has the following probability distribution. x369 12 15 p(x) 0.140.2910.3610.1110.10 A) 9 B) 5.55 C) 9.3 D) 8.22 E) 7.80

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60)

Expected value:

EV = 3 * 0.14 + 6 * 0.29 + 9 * 0.36 + 12 * 0.11 + 15 * 0.1

EV = 8.22

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