A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be 28%. We are interested in the number of dealerships she must call.

a. In words, define the Random Variable X.

b. List the values that X may take on.

c. Give the distribution of X. X∼

d. On average, how many dealerships would we expect her to have to call until she finds one that has the car?

e. Find the probability that she must call at most 4 dealerships.

f. Find the probability that she must call 3 or 4 dealerships.