8] 5. Suppose that Y ~ I(n/2, B). (a) Use the method of moment-generating functions to show that W = 2Y/B has a x distri- bution with n degrees of freedom. (b) Suppose Y ~ I(3.5, 4.2). Find Pr(Y > 33.627) using the x2 distribution for appropriate degrees of freedom.

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[8] 5. Suppose that Y - T(n/2, 3).
(a) Use the method of moment-generating functions to show that W = 2Y/B has a x? distri-
bution with n degrees of freedom.
T(3.5, 4.2). Find Pr(Y > 33.627) using the x? distribution for appropriate
(b) Suppose Y ~
degrees of freedom.
Transcribed Image Text:[8] 5. Suppose that Y - T(n/2, 3). (a) Use the method of moment-generating functions to show that W = 2Y/B has a x? distri- bution with n degrees of freedom. T(3.5, 4.2). Find Pr(Y > 33.627) using the x? distribution for appropriate (b) Suppose Y ~ degrees of freedom.
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