1. Below is a table that gives the distribution of the number of cars per household for a given city:

(a) Based on the information above, what is the probability that a randomly selected household has 3 cars?

(b) What is the cdf (cumulative distribution function) for the number of cars?

(c) What is the expected value of this distribution?

(d) What is the standard deviation of this distribution?

(e) Suppose that the cost, in dollars, of registration of cars for a household is given by C = 55.25 +27X, where C is the cost and X is the number of cars in that household. What is the expected cost, and what is the variance of the cost? Don't forget to include units!