Suppose that a referee goes to officiate a home game of a team with 200 football

Q: Suppose that a referee goes to officiate a home game of a team with 200 football

Solution: a) The two types of probability distributions that used to study are binomial and hyper geometric distributions. b) The match will call off if nine or more of them are under-inflated. Therefore, the probability that the match is called off is P(X 9) c) The probability value that the match is called off is calculated by binomial and hyper geometric distribution is 0.7483 and 0.7599 respectively.

ID: 3273247 • Letter: S

Question

Suppose that a referee goes to officiate a home game of a team with 200 footballs at their facility, 100 of which are underinflated for the team's unfair advantage. The referee obtains a random sample of 20 footballs and will call off the match if nine or more of them are underinflated. a. What two types of probability distributions could be used to study this problem? Why? b. What is the probability that the match is called off? c. Solve this problem using the two types of distributions and explain the differences.

Explanation / Answer

Solution:

a) The two types of probability distributions that used to study are binomial and hyper geometric distributions.

b) The match will call off if nine or more of them are under-inflated.
Therefore, the probability that the match is called off is P(X 9)

c) The probability value that the match is called off is calculated by binomial and hyper geometric distribution is 0.7483 and 0.7599 respectively.

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Suppose that a referee goes to officiate a home game of a team with 200 football

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