Question: Problem 2: Suppose we observe a random variable X having the exponential distribution with parameter 1, which means that X has the density Ae-Ax if

Problem 2: Suppose we observe a random variable X having the exponential distribution with parameter 1, which means that X has the density Ae-Ax if x > 0 fx (2; 1) = otherwise, (a) For A1 > 4, find the critical region of the likelihood ratio test for testing Ho : 1 = 4 against H1 : 1 = 1 at level of significance a = 0.05. (b) For 1

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