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Joint Distributions Suppose that the number of insurance claims that a particular policyholder makes in one year has a Poisson distribution with mean , and

Joint Distributions

Suppose that the number of insurance claims that a particular policyholder makes in one year has a Poisson distribution with mean , and that over the large population of policyholders has a Gamma distribution with parameters k and r. Find the probability of x claims in one year by a policyholder chosen at random from the population of policyholders.

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