SOLUTION: Let Y1, Y2, Y3, and Y4 be independent, identically distributed variables from a population with mean μ and variance σ(squared). let ȳ = 1/4(y1,y2,y3,y4) denote the average of th

Algebra ->  Statistics  -> Central-limit-theorem -> SOLUTION: Let Y1, Y2, Y3, and Y4 be independent, identically distributed variables from a population with mean μ and variance σ(squared). let ȳ = 1/4(y1,y2,y3,y4) denote the average of th      Log On


   



Question 1184696: Let Y1, Y2, Y3, and Y4 be independent, identically distributed variables from a population with mean μ and variance σ(squared). let ȳ = 1/4(y1,y2,y3,y4) denote the average of these random variables. What are the expected value and variance in terms of μ and σ(squared)?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!




Since the Y r.v.'s are i.i.d., they are also pairwise independent, and so the pairwise covariances are equal to 0.