This Question: 1 pt 4 of 8 (0 complete) This Quiz: 8 pts possible In a certain c

Question

This Question: 1 pt 4 of 8 (0 complete) This Quiz: 8 pts possible In a certain community, 0.6 of all adults drive a Ford and 0.9 of all adults shop at the XYZ store. Furthermore, 0.6 of all the XYZ store. a. What is the probability that a randomly selected adult from this community will drive a Ford and shop at the Xyz adults who drive Fords are Methodists. Whether an adult drives a Ford is independent of whether the person shops at store? (Round your answer to two decimal places.) b. What is the probuabiliy hat a randomly selected aduit who shops at the XYZ store willtive a Ford? (Round your answer to two decimal places.) c. What is the probability that a randomly selected adult from this community will drive a Ford and be a Methodist? (Round your answer to two decimal places.) d. What is the probability that a randomly selected adult from this community will not shop at the XYZ store? (Round your answer to two decimal places.) Enter your answer in each of the answer boxes. 5 B.

Explanation / Answer

Let the event of driving a Ford be A and the event of adults shopping at XYZ store be B.

Let C be the event of being a methodist.

P(A) = 0.6 P(B) = 0.9 P(C|A) = 0.6

a. Probability that a randomly selected person will drive a Ford and shop at XYZ store

= P(A B) = P(A) P(B) = 0.6 * 0.9 = 0.54.

b. Probability that a randomly selected person who shops at XYZ store will drive a Ford

= P(A|B) = P(A) = 0.6 since A and B are independent events.

c. Probability that a randomly selected person drives a Ford and is a Methodist

= P(A C) = P(C|A) P(A) = 0.6 * 0.6 = 0.36.

d. Probability that a randomly selected person will not shop at XYZ store

= P(Bc) = 1 - P(B) = 1 - 0.9 = 0.1.

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