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.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: