Question: If Y is a chi square random variable with n degrees of freedom, the pdf of (Y n)/2n converges to fZ (z) as n

If Y is a chi square random variable with n degrees of freedom, the pdf of (Y − n)/√2n converges to fZ (z) as n goes to infinity (recall Question 7.3.2). Use the asymptotic normality of (Y − n)/√2n to approximate the fortieth percentile of a chi square random variable with 200 degrees of freedom.

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