According to a poll, about 16% of adults n a country bet on professional sports.

Question

According to a poll, about 16% of adults n a country bet on professional sports. Data indicate that 46.4% 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. Yes. A person cannot be both male and bet on professional sports at the same time. B. No. A person cannot be 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. No. A person can be both male and bet on professional sports at the same time. (b) Assuming that betting is independent of gender, compute the probability that an adult from this country selected at random is a male and an professional sports: P(male and bets on professional sports) = (Type an integer or decimal rounded to four decimal places as needed.)

Explanation / Answer

b) When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring. An example of two independent events is as follows; say you rolled a die and flipped a coin.

Here, probability = 0.464 * 0.16 = 0.0742

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