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, 16% had asked for a raise and 55% 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)

Answer 1

a) P(man asked for raise) = 0.160

b) P(man received raise | he asked for one) = 0.550

c) P(man asked for raise and received raise) = P(man asked for raise) x P(man received raise | he asked for one)

= 0.16 x 0.55

= 0.088