Of employed U.S. adults age 25 or older, 90.4% have completed high school, while 34.0% have completed college. For H 5 completed high school, C 5 completed college, and assuming that one must complete high school before completing college, construct a tree diagram to assist your calculation of the following probabilities for an employed U.S. adult:   Source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 146.   P(H) b. P(C|H)   P(H and C) d. P(H and C’)

5.22 A survey of employees at a large company found the following relative frequencies for the one-way distances they had to travel to arrive at work:

.

                                                       Number of Miles (One-Way)

                                             A                    B                    C                    D                  E                    F

                                            _5                   6–10              11–15            16–20            21–30             _31

        Relative

        Frequency                      0.38                  0.25                0.16                0.09                  0.07                0.05

1. What is the probability that a randomly selected individual will have to travel 11 or more miles to work?
2. What is the probability that a randomly selected individual will have to travel between 6 and 15 miles to work?
3. Draw a Venn diagram that includes the relative frequency probabilities in the table.
4. Using the letter identifications provided, calculate the following probabilities:

 P(A or B or E); P(A or F); P(A9 or B); P(A or B or C9).

5.26 In 2003, Entergy Corporation had 2,631,752 electricity customers. Of these, 86.0% were in the residential category (R); 11.8% were commercial (C); 1.6% were industrial (I); and 0.6% were government and municipal (G).

Source: Entergy Corporation, 2003 Annual Report.

1. Draw a Venn diagram representing events R, C, I, and G.
2. What is the value of P(R)?
3. What is the value of P(C or G)?
4. What is the value of P(R or C9)?

5.28 Using the information presented in the table in Exercise 5.12, calculate the following probabilities:

1. P(A or D) b. P(B or F) c. P(C or G) d. P(B or C or G)

5.38 Of employed U.S. adults age 25 or older, 90.4% have completed high school, while 34.0% have completed college. For H 5 completed high school, C 5 completed college, and assuming that one must complete high school before completing college, construct a tree diagram to assist your calculation of the following probabilities for an employed U.S. adult:

Source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 146.

1. P(H) b. P(C|H)

1. P(H and C) d. P(H and C’)