Question: Problem 8. Let X be a geometric random variable with parameter 0 Problem 8. Let X be a geometric random variable with parameter O <

Problem 8. Let X be a geometric random variable with parameter 0

Problem 8. Let X be a geometric random variable with parameter O < 9 < 1. (1) Find an NP(1/3, 2/3, k) test function which has size at most .05. (2) Find an NP(90, 01, k) test function for O < < 91 < l. (3) Show that the test 1 [X 3] is a UMP(.04) test for testing HO : .8 versus Ha : 9 < .8.

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