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Suppose X 1 O 1 NNQ H1 ? X2 #2 0 1 (a) Let X1 : R0056 and X2 : Rsin. Find the joint distribution

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Suppose X 1 O 1 NNQ H1 ? X2 #2 0 1 (a) Let X1 : R0056 and X2 : Rsin. Find the joint distribution of R and f9, and the marginal distributions of R and 9 when p1 : p2 : 0. (b) Our interest is to test H0 : ,ul : 0 versus H A : #1 > 0 using the likelihood ratio test based on X1. Find the form of the likelihood ratio test and derive the distribution of the likelihood ratio test under H0

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