Use the corollary of Theorem 4.15 on page 136 to show that if X1, X2, . . . , Xn constitute a random sample from an infinite population, then cov(Xr €“ , ) = 0 for r = 1, 2, . . . , n.
Theorem 4.15
If the random variables X1, X2, . . . , Xn are independent and

Then

Transcribed Image Text:

ra }, = Σ@di. 2 af var(X) i-1