The probability distribution for damage claims

The probability distribution for damage claims

Question
The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance is given by:

Payment($) /// Probability

0 0.85

500 0.04

1000 0.04

3000 0.03

5000 0.02

8000 0.01

10000 0.01

a. Compute the expected value of the damage claims.

b) Compute the standard deviation of damage claims.

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