Let N be the number of customers that visit a certain store in a given day. Suppose that we know E[N] and Var(N). Let X_i be the amount that the ith customer spends on average. We assume X_i's are independent of each other and also independent of N. We further assume they have the same mean and variance

Let Y be the store's total sales, i.e.,

Find EY and Var(Y).

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EX₁ = EX, Var(X₂) = Var(X).