Question: A biased coin has heads probability p. Let N Pois(). If N = n, we will flip the coin n times. Let X be

A biased coin has heads probability p. Let N ∼ Pois(λ). If N = n, we will flip the coin n times. Let X be the number of heads.
(a) Use the law of total expectation to find E[X].
(b) Use the law of total variance to find V[X].

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