What is the preferred way for people to order fast food? A survey was conducted,

Question

What is the preferred way for people to order fast food? A survey was conducted, but the sample sizes were not reported. Suppose th results, based on a sample of 100 males and 100 females, were as summarized in the table to the right Complete parts (a) through a. If a respondent is selected at random, what is the probability that he or she prefers to order at the drive through? (Round to three decimal places as needed.) b. If a respondent is selected at random, what is the probability that he or she is male and prefers to order at the drive through? (Round to three decimal places as needed.) c. If a respondent is selected at random, what is the probability that he or she is male or prefers to order at the drive through? Round to three decimal places as needed.) d. Explain the difference in the results in (b) and (c). A. The joint event in part (c) includes the possibility that just one of the two attributes occurs. B. The two attihutes in nart (b) are cnilectivelv exhaustive while those in nart (c) are not Click to select your answer(s).

Explanation / Answer

(a)

Out of 200, 138 prefer order at the drive through is

P(order at drive through) = 138/ 200 = 0.690

(b)

P(male and order at drive through) = 59/200 =0.295

(c)

P(male) = 100/200

So the required probability is

P(male or order at drive thorugh) = P(male) + P(order at drive through) - P(male and order at drive through) = (138/200) + (100/200) - (59/200) = 0.895

(d)

correct option is A.

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