b. What is the probability that a respondent chosen at random is a female and en

Question

b. What is the probability that a respondent chosen at random is a female and enjoys shopping for clothing for?herself?

c. What is the probability that a respondent chosen at random is a female or is a person who enjoys shopping for?clothing?

d. What is the probability that a respondent chosen at random is a male or a? female?

A survey of 1090 adults was asked Do you enjoy shopping for clothing for yourser? The esults r dicated that 52% af the females enjoyed shopping for c answered yes. Of 542 females, 280 answered yes. Construct a contingency table 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 herself? (Round to three decimal places as needed.) evaluate the thing or the selves as compared to 44% af the males. Suppose that the esults ndi ted that of 548 males, 239

Explanation / Answer

Ans:

a)P(Yes)=519/1090=0.476

b)P(female and yes)=280/1090=0.257

c)P(female OR yes)=P(female)+P(yes)-P(female and yes)

=(542/1090)+(519/1090)-(280/1090)

=(542+519-280)/1090=781/1090=0.717

d)P(male or female)=1

Males Females Total Yes 239 280 519 No 309 262 571 Total 548 542 1090

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