The number of workers, in thousands, in the U.S, workforce in 2004 are shown in

Question

The number of workers, in thousands, in the U.S, workforce in 2004 are shown in the net table. Answer the following question based on the information in the preceding table. (a) What is the probability that a randomly selected worker is a male who is at least 65 years of age? (b) What is the probability that a randomly selected worker is a female? (c) What is the probability that a randomly selected worker between 16 and 24 years old is a male? (d) What is the probability that a randomly selected female worker is between 25 and 64 years of age?

Explanation / Answer

a) P(male and at least 65 years old) = 2787 / 147402 = 0.0189

b) P(female) = 68423 / 147402 = 0.4642

c) P(male | 16 and 24 years old) = P(male and 16 and 24 years old) / P(16 and 24 years old)

                                                    = [11673/147402] / [22268/147402]

                                                    = 11673 / 22268

                                                    = 0.5242

d) P(25 and 64 years old | female) = P(25 and 64 years old and female) / P(female)

                                                       = [31028/147402] / [68423/147402]

                                                       = 31028/68423

                                                       = 0.4535

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