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Does it pay to ask for a raise? A national survey of heads of households showed

ID: 3158757 • Letter: D

Question

Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the women interviewed, 22% had asked for a raise, and of those women who had asked for a raise, 45% received the raise. If a woman is selected at random from the survey population of women, find the following probabilities. (Enter your answers to three decimal places.)

(a) P(woman asked for a raise)


(b) P(woman received raise, given she asked for one)


(c) P(woman asked for raise and received raise)

Explanation / Answer

A) THE PROBABILITY THAT WOMEN ASKED = 0.22

B) THE PROBABILITY WOMED RECIEVED RAISE, GIVEN SHE ASKED) = P(A AND B)/P(B) = 0.22*0.45/0.22 = 0.45

C) PROBABILITY OF WOMEN ASKED AND GET = 0.22*0.45 = 0.099

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