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

Question
Answer:
X follows the binomial distribution for the first experiment. 
Denote the probabilities like this: [tex]p=0.1,q=1-p=0.9[/tex]
Then, 
[tex]P(X=n)=C_N^np^nq^{0.9}[/tex]
Wherein N is the total number of cats that receive vaccine. 

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