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For each of the experiments listed below, chose what distribution would be appro

ID: 3336161 • Letter: F

Question

For each of the experiments listed below, chose what distribution would be appropriate to use.

You can use each distribution more than once.

A – Binomial

B – Multinomial

C – Hypergeometric

D - Geometric

E - Negative Binomial

F - Poisson

________ A multiple choice test has 25 questions, each with 4 possible answers of which only 1 is correct. We are interested in the number of correct answers if the test is filled out only by guesswork.

________ On average, a person fishing at a particular lake will catch 2 fish per hour. We are interested in the number of fish a randomly selected person will catch in an hour.

________ A hand of five cards is dealt from a standard 52 card deck. We are interested in the number of Aces in the hand.

________ Suppose the probability that a basketball player makes a foul shot is 0.70. We are interested in the number of shots he will have to take in order to make 3 of them.

________ A study has shown that in a certain city 70% of all families own at least 2 TV sets. We are interested in the number of families that own at least 2 TVs from a sample of 20 families.

Explanation / Answer

1 )   A multiple choice test has 25 questions, each with 4 possible answers of which only 1 is correct. We are interested in the number of correct answers if the test is filled out only by guesswork .

------------------------- A – Binomial

2 )  On average, a person fishing at a particular lake will catch 2 fish per hour. We are interested in the number of fish a randomly selected person will catch in an hour .

---------------------------------  F - Poisson

3 )  A hand of five cards is dealt from a standard 52 card deck. We are interested in the number of Aces in the hand.

----------------------------  C – Hypergeometric

4 )   Suppose the probability that a basketball player makes a foul shot is 0.70. We are interested in the number of shots he will have to take in order to make 3 of them.

---------------------------------  E - Negative Binomial

5 )  A study has shown that in a certain city 70% of all families own at least 2 TV sets. We are interested in the number of families that own at least 2 TVs from a sample of 20 families.

--------------------------------  A – Binomial

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