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4. An insurance company sells insurance policies. Each insurance policyleads to claims with expected value $100 and standard deviation $3,000.The number of policies sold is

4. An insurance company sells insurance policies. Each insurance policyleads to claims with expected value $100 and standard deviation $3,000.The number of policies sold is normally distributed with mean 1,000 andstandard deviation 150.

(a) What is the expectation of the total of all the claims from policies soldby this company?

(b) What is the variance of the total of all the claims from this companyspolicies?

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