Refer to Example 8.4 and suppose that Y is a single observation from an exponential

Chapter 8, Problem 8.46

(choose chapter or problem)

Refer to Example 8.4 and suppose that Y is a single observation from an exponential distribution with mean . a Use the method of moment-generating functions to show that 2Y/ is a pivotal quantity and has a 2 distribution with 2 df. b Use the pivotal quantity 2Y/ to derive a 90% confidence interval for . c Compare the interval you obtained in part (b) with the interval obtained in Example 8.4.

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