Question

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 had 925 respondents, 700 males and 225 females. Out of the 925 total respondents, 188 stated that they had attended multiple AFL games. Of these 188 fans that had attended multiple games, 167 were male. Using this survey information, answer the following questions.What is the probability that a randomly selected fan has attended multiple games? If required, round your answer to three decimal places.Given that a randomly selected fan has attended multiple games, what is the probability of this person being male? If required, round your answer to three decimal places.What is the probability of a randomly selected fan being male and having attended multiple games? If required, round your answer to three decimal places.Given that a randomly selected fan is male, what is the probability that this person has attended multiple games? If required, round your answer to three decimal places.What is the probability that a randomly selected fan is male or has attended multiple games? If required, round your answer to three decimal places.

Answer 1

Answer:

1. 20.3% o P=0.203
2. 88.8% or P=0.888
3. 18% or P=0.18
4. 78% or P=0.78

8Step-by-step explanation:

1. The probability is 188 wich are favorable cases for a fan attending multiple games over 925 wich is the total cases: [tex]frac{{188}{925}}[\tex]
2. If the selected fan is male we should divide the amount of multiple-game male atendees over the total amount of multiple game attendees. [tex]frac{{167}{188}}[\tex]
3. We multipliply the probability of a fan being male times the probability him being multiple-game male atendee [tex]frac{{700}{925}}frac{{167}{700}}[\tex]
4. This probabily es the sum of the probability of an fan being man plus the prob of having attended multiple games, minus the probability of being a man AND having attended multiple games (as to not account for them twice) [tex]frac{{700}{925}}+frac{{188}{700}}-0.18[\tex]