= 2. (a) Suppose that E₁, E2, E2, E4, E5 are independent and that P(E₁) = P(E₂) = 1, P(E3) = P(E4) = 3, P(E5) = 1. Find P(((E₁ E₂) U (E3 E4)) NE5). = 3 (b) Suppose that X is a Binomial random variable with parameters n = and p = . Find E[(1 + 2X)²].

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