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
- What is the probability that a randomly selected individual will have to travel 11 or more miles to work?
- What is the probability that a randomly selected individual will have to travel between 6 and 15 miles to work?
- Draw a Venn diagram that includes the relative frequency probabilities in the table.
- 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.
- Draw a Venn diagram representing
events R, C, I, and G. - What is the value of P(R)?
- What is the value of P(C or G)?
- 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:
- 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.
- P(H) b. P(C|H)
- P(H and C) d. P(H and C’)
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