Name the type of probability distribution that can be used for each case: Of all

Question

Name the type of probability distribution that can be used for each case:

Of all customers purchasing automatic garage door openers, 75% purchase a chain-driven model. Let
X = the number among the next 15 purchasers who select the chain-driven model.
a. Poisson
b. Geometric
c. Binomial
d. Hypergeometric
e. None of these

Draw marbles from a bag containing 5 red marbles, 6 blue marbles and 4 green marbles without
replacement and count the number of blue marbles.
a. Hypergeometric
b. Geometric
c. Binomial
d. Poisson
e. None of these

Draw marbles from a bag containing 5 red marbles, 6 blue marbles and 4 green marbles with replacement
until you get a blue marble.
a. Hypergeometric
b. Geometric
c. Binomial
d. Poisson
e. None of these

Draw marbles from a bag containing 5 red marbles, 6 blue marbles and 4 green marbles with replacement
and count the number of blue marbles.
a. Hypergeometric
b. Geometric
c. Binomial
d. Poisson
e. None of these

Explanation / Answer

Name the type of probability distribution that can be used for each case:

Of all customers purchasing automatic garage door openers, 75% purchase a chain-driven model. Let
X = the number among the next 15 purchasers who select the chain-driven model.

Ans:Binomial,X~Binomial(15,0.75)(option C is correct)

Draw marbles from a bag containing 5 red marbles, 6 blue marbles and 4 green marbles without
replacement and count the number of blue marbles.

Ans:None(optione is correct)

Draw marbles from a bag containing 5 red marbles, 6 blue marbles and 4 green marbles with replacement
until you get a blue marble

Ans:Geometric(option b is correct)

Draw marbles from a bag containing 5 red marbles, 6 blue marbles and 4 green marbles with replacement
and count the number of blue marbles.

Ans:Binomial (option C is correct)

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