Find the expected value for a policyholder

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An insurance company supposes that the number of accidents that each of its policyholders will have this year is Poisson distributed, with a mean depending on the policyholder: the Poisson mean Λ of a randomly chosen person has a Gamma distribution with the Γ(2, 1)-density function fΛ(λ) = λe (λ > 0). Find the expected value of Λ for a policyholder having x accidents this year (x = 0, 1, 2, . .).

Reference no: EM131020778

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