Question: Let X have a Weibull distribution with parameters and . Show that has a chi-squared distribution with . [Hint: The cdf of Y is ;

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

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