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Please Help, Prove that the expected value of a Discrete Uniform random variable on the set {1, 2,..., N} is E(X) = (N + 1)/2.

Please Help,

Prove that the expected value of a Discrete Uniform random variable on the set {1, 2,..., N} is E(X) = (N + 1)/2.

Also, prove that the variance is Var(X) = (N2 1)/12.

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