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Interested in learning more about its fans, the marketing office of the Arena Football League (AFL) conducted a survey at one of its games. The survey has 937 respondents, 694 males and 243 females. Out of the 937 total respondent's, 194 stated that they had attended multiple AFL games. Of these 194 fans that had attended multiple games, 169 were male. Using this survey information, answer the following questions.
1- What is the probability that a randomly selected fan has attended multiple games?2- Given that a randomly selected fan has attended multiple games, what is the probability of this person being male?3- What is the probability of a randomly selected fan being male and having attended multiple games?4- Given that a randomly selected fan is male, what is the probability that this person has attended multiple games?5- What is the probability that a randomly selected fan is male or has attended multiple games?

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Answer:

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Step-by-step explanation:

Given the data:

Total respondent : n(T) = 937

n(male) = 694

n(Female) = 243

n(multiple AFL) = 194

_______________AFL

Male ____694___169

Female __243___ 25

Total____ 937___194

1.) What is the probability that a randomly selected fan has attended multiple games?

n(Multiple AFL) / n(Total)

= 194 / 937

= 0.207

2.) Given that a randomly selected fan has attended multiple games, what is the probability of this person being male?

Male who attended multiple AFL / n(multiple AFL)

= 169 / 194

= 0.871

3- What is the probability of a randomly selected fan being male and having attended multiple games?

Number of males who have attended multiple games / n(Total)

= 169 / 937

= 0.180

4- Given that a randomly selected fan is male, what is the probability that this person has attended multiple games?

Number of males who have attended multiple AFL / n(male)

169 / 694

= 0.2435

5- What is the probability that a randomly selected fan is male or has attended multiple games?

[n(male) + n(multiple AFL)] / n(Total)

(694 + 194) / 937

= 888 / 937

= 0.9477