According to a poll, about 19% of adults in a country bet on professional sports

Question

According to a poll, about 19% of adults in a country bet on professional sports. Data indicates that 47.6% of the adult population in this country is male. Complete parts (a) through (e). (a) Are the events "male" and "bet on professional sports" mutually exclusive? Explain. A. No, A person cannot be male and bet on professional sports at the same time. B. No, A person can be both male and bet on professional sports at the same time. C. Yes, A person can be both male and bet on professional sports at the same time. D. Yes, A person cannot be both male and bet on professional sports at the same time. (b) Assuming that belting is independent of gender, compute the probability that an adult from this country selected at random is a male and bets on professional sports. P(male and bets on professional sports) = (type an integer or decimal rounded to four decimal places as needed.)

Explanation / Answer

Given betting is independent of gender

P(Male and Betting on Professional sports) = P(Male) * P(Betting on Professional sports)

since the two events are independent

= 0.19 * 0.476

= 0.09044

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