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

Explanation / Answer

(a) 0.240 (no calculation needed; it's right in the problem statement in black and white.

(b) 0.045 (same deal, this is asking what percentage of women who asked for a raise got one.)

(c) 0.24 x 0.45 = 0.108

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