* Both Problems 17-A and 17-B use the following information*.

An insurance portfolio consists of independent risks.

For each risk in this portfolio, the number of claims in a year has a Poisson distribution with mean . The parameter follows a Gamma distribution.

A risk is randomly selected from this portfolio. Prior to obtaining any claim experience, the number of claims in a year for this risk has a distribution with mean 0.6 and variance 0.72.

After observing this risk for one year, insurance company records indicate that there are 2 claims for this risk.

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**Problem 17-A**

After knowing the insurance company records, what is the expected number of claims per year for this risk?

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**Problem 17-B**

After knowing the insurance company records, what is the variance of the number of claims per year for this risk?

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