The distribution for the number of claims (X) on a California home-owner's policy during one year is provided below.This information is obtained by a computer search of one company's entire database so it describes the entire population of California policy-holders. (Note: here X is a discrete random variable.)

Possible values of X

0

1

2

3

4

Probability

0.41

0.27

0.17

?

0.04

1) Find the missing probability P(X=3) (4 points)

2) Find the expected number of claims of California policy holders, i.e. E(X). (4 points)