about 17% of adults in a country bet on professional sports. Data indicate that
ID: 3209315 • Letter: A
Question
about 17% of adults in a country bet on professional sports. Data indicate that 45.2% of the adult population in this country is male. Complete According to a pol parts (a) through (e). (a) Are the events "male" and "bet on professional sports" mutually exclusive? Explain. O A. No. A person cannot be male and bet on professional sports at the same time. O B. No. A person can be both male and bet on professional sports at the same time O C. Yes. A person can be both male and bet on professional sports at the same time. o D. Yes. A person cannot 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 bets on professional sports. le and bets on professional sports) (Type an integer or decimal rounded to four decimal places as needed.) (c) Using the result in part (b), compute the probability that an adult from this country selected at random is male or bets on professional sports. P(male or bets on professional sports) (Type an integer or decimal rounded to four decimal places as needed.)Explanation / Answer
a) They are not mutually exclusive because a person can be male and bet on professional sports at the same time. So,
Option B is correct.
b) If betting is independent of gender then:
P(Male and bet on professional sports)
= P(Male) * P(Bet on professional sports)
= 0.452 * 0.17
= 0.0768
c) P(Male or bet on professional sports)
= P(Male) + P(Bet on professional sports) - P(Male and bet on professional sports)
= 0.452 + 0.17 - 0.0768
= 0.5452
d) The assumption was incorrect and the events are not independent. Option B is correct.
e) P(Male or bet on professional sports)
= P(Male) + P(Bet on professional sports) - P(Male and bet on professional sports)
= 0.452 + 0.17 - 0.099
= 0.523
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