Suppose that the random variable Y has a gamma distribution with parameters = 2 and an

Chapter 8, Problem 8.39

(choose chapter or problem)

Suppose that the random variable Y has a gamma distribution with parameters = 2 and an unknown . In Exercise 6.46, you used the method of moment-generating functions to prove a general result implying that 2Y/ has a 2 distribution with 4 degrees of freedom (df). Using 2Y/ as a pivotal quantity, derive a 90% confidence interval for .

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