5.143 Homeowner's Policy. An insurance company wants to design a homeowner's policy for mid-priced homes. From data com- piled by the company, it is known that the annual claim amount, X, in thousands of dollars, per homeowner is a random variable with the following probability distribution.

x 0 10 50 100 200

P(X = x) 0.95 0.045 0.004 0.0009 0.0001

a. Determine the expected annual claim amount per homeowner.