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

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, 24% 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)
1

(b) P(woman received raise, given she asked for one)
2

(c) P(woman asked for raise and received raise)
3

Explanation / Answer

(a) P(woman asked for a raise) = 0.25 [ANSWER, GIVEN]

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(b) P(woman received raise, given she asked for one) = 0.46 [ANSWER, GIVEN]

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(c) P(woman asked for raise and received raise) = P(asked) P(received|asked) = 0.25*0.46 = 0.115 [ANSWER]

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