3. Let X₁, X2,..., Xn be iid random variables with mean and variance o2. Define therandom variableX-LZo/√√nwhere X = (X₁ + X2 + ... + Xn). Find the mean and variance of Z.

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Answered: 3. Let X₁, X2,..., Xn be iid random…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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3. Let X₁, X2,..., Xn be iid random variables with mean and variance o2. Define the random variable Z = X-μ o/√n where X = (X₁ + X2 + ... + Xn). Find the mean and variance of Z.