Question: 126. Let X have a Weibull distribution with parameters 2 and . Show that Y 2X2 /2 has a chi-squared distribution with

126. Let X have a Weibull distribution with parameters 2 and . Show that Y 2X2

/2 has a chi-squared distribution with 2. [Hint: The cdf of Y is P(Y y); express this probability in the form P(X g(y)), use the fact that X has cdf of the form in Expression (4.12), and differentiate with respect to y to obtain the pdf of Y.]

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