1. Table 7 shows the percentages of various portions of the U.S. population in 2012, based on age and gender. Suppose that a person is chosen at random from the entire population.
Table 7

(a) What is the probability that the person chosen is male?
(b) Given that the person chosen is male, find the probability that he is between 5 and 19 years old.
Use Bayes' theorem to calculate the probabilities?

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U.S. Population % of Population Age Group % Male Under 5 yrs 51 5-19 yrs 20 51 20-44 yrs 45 64 yrs 33 50 27 48 Over 64 yrs 13 44