C: Observe a number greater than 3 d. D: Observe an even number and a number greater than 2

b. What is the probability that a white donor will not have Type A blood? c. What is the probability that an Asian donor will have either Type A or Type B blood? d. What is the probability that a donor will have neither Type A nor Type AB blood? 4.17 The makers of the candy MMs report that their plain MMs are composed of 15 yel- low, 10 red, 20 orange, 25 blue, 15 green, and 15 brown. Suppose you randomly select an MM, what is the probability of the following?

a. It is brown. b. It is red or green.

c. It is not blue. d. It is both red and brown.

4.4 Conditional Probability and Independence 4.18 Determine the following conditional probabilities for the events of Exercise 4.11.

a. b.

c. 4.19 Refer to Exercise 4.11. a. Are the events A and B independent? Why or why not? b. Are the events A and C independent? Why or why not? c. Are the events C and B independent? Why or why not? 4.20 Refer to Exercise 4.13. a. Which pairs of the events A B, B C, and A C are independent? Justify your answer. b. Which pairs of the events A B, B C, and A C are mutually exclusive? Justify your answer. 4.21 Refer to Exercise 4.16. Let W be the event that donor is white, B be the event donor is black, and A be the event donor is Asian. Also, let T 1 be the event donor has blood type O, T 2 be the event donor has blood type A, T 3 be the event donor has blood type B, and T 4 be the event donor has blood type AB.

a. Describe in words the event T

1 |W.

b. Compute the probability of the occurrence of the event T

1 |W, PT 1 |W.

c. Are the events W and T

1 independent? Justify your answer.

d. Are the events W and T

1 mutually exclusive? Explain your answer. 4.22 Is it possible for two events A and B to be both mutually exclusive and independent? Justify your answer. H.R. 4.23 A survey of a number of large corporations gave the following probability table for events related to the offering of a promotion involving a transfer. Married Promotion Two-Career One-Career Transfer Marriage Marriage Unmarried Total Rejected .184 .0555 .0170 .2565 Accepted .276 .3145 .1530 .7435 Total .46 .37 .17 Use the probabilities to answer the following questions:

a. What is the probability that a professional selected at random would accept the

promotion? Reject it?

b. What is the probability that a professional selected at random is part of a two-

career marriage? A one-career marriage? Soc. 4.24 A survey of workers in two manufacturing sites of a firm included the following question: How effective is management in responding to legitimate grievances of workers? The results are shown here. PB|C PA|C PA|B