Q:

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.

Accepted Solution

A:
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.