1.(15 points) Consider the following table where X represents the number of cars owned by an American Household: X 0 1 2 3 4 5 P(X) .08 .37 .36 .12 .01 .06 a. Does this table represent a probability model? How do you know? (3 points) b.Compute the average number of cars owned by American Household?(3 points) c. Compute the variance of cars owned by American Household? (3 points) d.What is the probability that a randomly chosen American Household owns exactly 2 cars?(2 points) e. Would it be unusual for an American Household to own more than 4 cars? How do you know?(4 points