(1 point) In a survey of 167 people, the following data were obtained relating gender to color-blindness: Color-Blind (C) Not Color - Blind C Total 133 34 167 Male (M) Female (F) Total 67 21 88 66 13 79 A person is randomly selected. What is the probability that the person is: a) Male? b) Male and Color-blind? c) Male given that the person is Color-blind? d) Color-blind given that the person is Male? e) Female given that the person is not Color-blind? f) Are the events Male and Color blind independent? Enter yes or no. (1 point) You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.9. With water it will die with probability 0.5. You are 83 % certain the neighbor will remember to water the plant. When you are on vacation, find the probability that the plant will die. Answer: You come back from the vacation and the plant is dead. What is the probability the neighbor forgot to water it? Answer: Hint: It may help to fill in a table like this one Neighbor remembers Neighbor forgets Total Plant lives Plant dies Total A firm has classified its customers in two ways: according to whether the account is overdue and whether the account is new (less than 12 months) or old. An analysis of the firm's records provided the input for the following table of joint probabilities: One account is selected at random. A. If the account is overdue, what is the probability that it is new? B. If the account is new, what is the probability that it is overdue? Overdue Not overdue New 0.03 Old 0.5 0.13 0.34