Aveterinarian 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.

Answer is option (1) When the vaccine is given to multiple cats, X is the total number of cats that receive the vaccine.

So for the random variable X ,where X is the total number of cats that receive the vaccine. We have the binomial distribution for

probability of causing side effect denoted by

p = 10% =0.1

and probability of not causing side effect denoted by

q = 1-0.1 =0.9

Then  probability function for random variable X is

where n is total number of cats.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.