According to a poll, about 18%of adults in a country bet on professional sports. Data indicates that 47.1% 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 can be both male and bet on professional sports at the same time. B. Yes. A person cannot 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. No. A person cannot be 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. P(male and bets on professional sports)=nothing (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)=nothing (Type an integer or decimal rounded to four decimal places as needed.) (d) The poll data indicated that 10.9% of adults in this country are males and bet on professional sports. What does this indicate about the assumption in part (b)? A. The assumption was incorrect and the events are not independent. B. The assumption was correct and the events are independent. (e) How will the information in part (d) affect the probability you computed in part (c)? Select the correct choice below and fill in any answer boxes within your choice. A. P(males or bets on professional sports)=nothing (Type an integer or decimal rounded to four decimal places as needed.) B. This information does not affect the probability computed in part (c).

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...

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According to a poll, about 18%of adults in a country bet on professional sports. Data indicates that 47.1% 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.

No. A person can be both male and bet on professional sports at the same time.

B. Yes. A person cannot be both male and bet on professional sports at the same time.

Yes. A person can be both male and bet on professional sports at the same time.

No. A person cannot be 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.

P(male and bets on professional

sports)=nothing

(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)=nothing

(Type an integer or decimal rounded to four decimal places as needed.)

(d) The poll data indicated that

10.9%

of adults in this country are males and bet on professional sports. What does this indicate about the assumption in part (b)?

The assumption was incorrect and the events are not independent.

The assumption was correct and the events are independent.

(e) How will the information in part (d) affect the probability you computed in part (c)? Select the correct choice below and fill in any answer boxes within your choice.

P(males or bets on professional

sports)=nothing

(Type an integer or decimal rounded to four decimal places as needed.)

This information does not affect the probability computed in part (c).

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