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, 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.) P(women asked for a raise)=22% (no calculation needed; it's right in the problem statement in black and white)

b.)  P(woman received raise, given she asked for one)=45%(same deal, this is asking what percentage of women who asked for a raise got one.)

c.) P(woman asked for raise and received raise)=.22*.45=.099=9.9%

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