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.

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope