document.write( "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)? \n" ); document.write( "

Algebra.Com's Answer #815351 by robertb(5830) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Since the Y r.v.'s are i.i.d., they are also pairwise independent, and so the pairwise covariances are equal to 0. \n" ); document.write( "

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