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# Which variable has a binomial distribution?

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Which variable has a binomial distribution?

When grapes are drawn, with replacement, from a mixed bag of seeded and seedless grapes, X is the number of seedless grapes in 3 draws.

When grapes are drawn, without replacement, from a mixed bag of seeded and seedless grapes, X is the number of seedless grapes in 3 draws.

When grapes are drawn, without replacement, from a mixed bag of seeded and seedless grapes, X is the number of times it takes to get a seedless grape.

When grapes are drawn, with replacement, from a mixed bag of seeded and seedless grapes, X is the number of times it takes to get a seedless grape.

Feb 17, 2020

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In a binomial distribution, you need to have the same probability of success for each draw and you need to know how many draws.

The first situation has both of these qualifications.

The second doesn't because the probability of success changes from draw to draw.

The third and fourth don't because you don't know how many draws.

Feb 17, 2020