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A veterinarian is using a new vaccine for cats. The vaccine has a 10% probability of causing side effects.

In which distributions does the variable X have a binomial distribution?

Select each correct answer.

When the vaccine is given to three cats, X is the number of cats that have side effects.

When the vaccine is given to multiple cats, X is the total number of cats that receive the vaccine.

When the vaccine is given to multiple cats, X is the number of cats that receive the vaccine until one of them has side effects.

When the vaccine is given to six cats, X is the number of cats that do not have any side effects.

Question

Mathematics

Adam Farley

28 August, 00:29

Will Mark Brainliest!

A veterinarian is using a new vaccine for cats. The vaccine has a 10% probability of causing side effects.

In which distributions does the variable X have a binomial distribution?

Select each correct answer.

When the vaccine is given to three cats, X is the number of cats that have side effects.

When the vaccine is given to multiple cats, X is the total number of cats that receive the vaccine.

When the vaccine is given to multiple cats, X is the number of cats that receive the vaccine until one of them has side effects.

When the vaccine is given to six cats, X is the number of cats that do not have any side effects.

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Answers (1)

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Laylah Foley · Answer 1

The first and fourth options are binomial distributions, since the 3 or 6 cats will either have or not have side effects.

The second option is not even a distribution, as you would know the exact number who received the vaccine.

The third option is not a binomial distribution, as you have set the # of cats (1) who will have side effects, rather than the number of cats to be tested.