Recent research suggests that car ownership may have peaked. The following probability distribution table shows the random variable, x, where x is number of cars owned by household:

x P(x)

0 0.10

1 0.22

2 0.45

3 0.18

4 0.05

(a) Determine the mean of x (Round the answer to two decimal places). Show all work. Answers without supporting work will not receive credit.

(b) Determine the standard deviation of x. (Round the answer to two decimal places) Show all work. Answers without supporting work will not receive credit.