6、 Let X₁,,Xn be independent and identically distributed random variables having expected value and variance o². Let X = (X₁++Xn)/n. Compute (a) E[X] and Var(X), (b)Cov(E-1Xk. Ek=2 Xk). Σ.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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6、
Let X₁,,Xn be independent and identically distributed random variables having expected
value and variance o². Let X = (X₁++Xn)/n. Compute
(a) E[X] and Var(X), (b)Cov(Σ=1 Χk, Σ=2Xk).
Transcribed Image Text:6、 Let X₁,,Xn be independent and identically distributed random variables having expected value and variance o². Let X = (X₁++Xn)/n. Compute (a) E[X] and Var(X), (b)Cov(Σ=1 Χk, Σ=2Xk).
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