Question: Show that if X1, X2, . . . , Xn are independent random variables having the chi-square distribution with v = 1 and Yn =

Show that if X1, X2, . . . , Xn are independent random variables having the chi-square distribution with v = 1 and Yn = X1 + X2 + · · · + Xn, then the limiting distribution of
V2/n

As n †’ ˆž is the standard normal distribution.

V2/n

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