If N ~ Poisson(lambda) and S = sum_{i=1}^N X_i where X_i are independent of N with E[X^2] finite, what is Var(S)?

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Multiple Choice

If N ~ Poisson(lambda) and S = sum_{i=1}^N X_i where X_i are independent of N with E[X^2] finite, what is Var(S)?

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