A consumer looking to buy a used red Miata car will call dealerships until she finds...

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A consumer looking to buy a used red Miata car will call dealerships until she finds...

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 25%. We are interested in the number of dealerships she must call.

a. n words, define the Random Variable X .

b. List the values that X may take on.

c. Give the distribution of X .

d. On average, how many dealerships would we expect her to have to call until she finds one that has the car? (Round your answer to the nearest whole number.)

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

math Statistics-And-Probability

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