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3. Suppose X is a random variable with the pdf f(x; 0) (1+0 )x 12x20 0. otherwise. (a) Find the most powerful level a test

3. Suppose X is a random variable with the pdf f(x; 0) (1+0 )x 12x20 0. otherwise. (a) Find the most powerful level a test of Ho : 0 = 0 v.s. H1 : 0 = 1. (b) Find the UMP level a test for Ho : 0 0 if it exists

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