Suppose that Y has a 2 distribution with degrees of freedom. Use the results in Exercise

Chapter 4, Problem 4.112

(choose chapter or problem)

Suppose that Y has a 2 distribution with degrees of freedom. Use the results in Exercise 4.111 in your answers to the following. These results will be useful when we study the t and F distributions in Chapter 7.a Give an expression for E(Ya ) if > 2a. b Why did your answer in part (a) require that > 2a? c Use the result in part (a) to give an expression for E( Y ). What do you need to assume about ? d Use the result in part (a) to give an expression for E(1/Y ), E(1/ Y ), and E(1/Y 2). What do you need to assume about in each case?

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