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A hen lays N eggs, where N has a Poisson distribution with parameter . Each egg hatches independently with probability p. a.)Calculate the marginal distribution

A hen lays N eggs, where N has a Poisson distribution with parameter . Each egg hatches independently with probability p.

a.)Calculate the marginal distribution of X, where X is the number of successful hatches.

b.)Calculate the conditional expectation E(N|X).

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