In Exercises 55–58, use the following information: After examining their clients’ records, Crashorama Auto Insurance calculated the probabilities in Figure 3.16.
55. a. Find the probability that a client drives 20,000 miles/year or more and has an accident.
b. Find the probability that a client drives 20,000 miles/year or more or has an accident.
HINT: Use the Union/Intersection Rule
c. Find the probability that the client does not drive
20,000 miles/year or more and does not have an accident.
56. a. Find the probability that the client drives less than 10,000 miles/year and has an accident.
b. Find the probability that a client drives less than
10,000 miles/year or has an accident.
c. Find the probability that a client does not drive less than 10,000 miles per year and does not have an accident.
57. Are the probabilities in Figure 3.16 theoretical probabilities or relative frequencies? Why?
58. a. Find the probability that a client drives either less than 10,000 miles/year or 20,000 miles/year or more.
b. Find the probability that a client both has an accident and drives either less than 10,000 miles/year or 20,000 miles/year or more.