Question: 3. If X is a discrete random variable and E(X2) = 0, show that P(X = 0) = 1. Deduce that, if var(X) = 0,

3. If X is a discrete random variable and E(X2) = 0, show that P(X = 0) = 1. Deduce that, if var(X) = 0, then P(X = μ) = 1, whenever μ = E(X) is finite.

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