1. A discrete random variable X follows the Uniform distribution if X takes values x = 1, 2, .., N, with P(X = x) = 1/N. Compute E(X), E(X²) and the variance Var(X). You may use the following...


1. A discrete random variable X follows the Uniform distribution if X takes values x =<br>1, 2, .., N, with P(X = x) = 1/N. Compute E(X), E(X²) and the variance Var(X).<br>You may use the following identities:<br>п(п + 1)<br>(1)<br>2<br>п(п + 1)(2n + 1)<br>(2)<br>i=1<br>

Extracted text: 1. A discrete random variable X follows the Uniform distribution if X takes values x = 1, 2, .., N, with P(X = x) = 1/N. Compute E(X), E(X²) and the variance Var(X). You may use the following identities: п(п + 1) (1) 2 п(п + 1)(2n + 1) (2) i=1

Jun 06, 2022
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