Business Statistics I (4) laris lea 9/28/17 6:57 PM Submit Quiz 05 This Question

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Business Statistics I (4) laris lea 9/28/17 6:57 PM Submit Quiz 05 This Question: 2 pts 60f 6 (1 complete) This Quiz: 8 pts possible A survey of 1,091 adults was asked, Do you enjoy shopping for clothing for yoursel The results indicated that 51% of the females enjoyed shopping for clothing for themselves as compared to 44% of the males Suppose that the results indicated that of 546 males, 240 answered yes. or 545 females 279 answered yes Construct a contingency taible to evaluate the probabilities. Complete parts (a) through (d) a. What is the probability that a respondent chosen at random enjoys shopping for clothing for himself or hersel? (Round to three decimal places as needed) b. What is the probability that a respondent chosen at random is a female and enjoys shopping for clothing for herselr? (Round to three decinal places as needed ) c. What is the probability that a respondent chosen at random is a female or is a person who enjoys shopping for dothing? (Roundtothree decimal places as needed ) d. What is the probability that a respondent chosen at random is a male or a female? (Round to three decimal places as needed) Entor your answer in each of the answer boxos HP Pavilion All BRING HOME FAS DESIGN

Explanation / Answer

a)
Probability that respondent chosen enjoys shopping = 519/1091 = 0.4757

b)
Probability that chosen respondent is female and enjoys shopping = 279/1091 = 0.2557

c)
P(Female) = 545/1091 = 0.4995
P(Enjoys shopping) = 519/1091 = 0.4757
P(Female and enjoys shopping) = 0.2557

Required probability, P(Female or enjoys shopping) = 0.4995 + 0.4757 - 0.2557 = 0.7195

d)
P(Male or Female) = 1091/1091 = 1 (As there is no intersection between male and female)

Males Females Total Answered Yes 240 279 519 Answered No 306 266 572 Total 546 545 1091

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