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 men interviewed, 22% had asked for a raise and 65% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities. (Enter your answers to three decimal places.)

(a) P(man asked for a raise)


(b) P(man received raise, given he asked for one)


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

Explanation / Answer

a). P( man asked for a raise ) = 0.220 (no calculation needed; it is given in the problem statement.)

b). P ( man received raise, given he asked for one ) = 0.650 (again, no calculation needed; this is also given in the problem statement.)

c). P (man asked for a raise and received raise ) = P( man asked for a raise) * P ( man asked for a raise and received raise )

= 0.220 (0.650) = 0.143

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