The random variable A has pdf f(x) e x,x 0 One observation is obtained on the random variable Y X, and a test of H0 1 versus H1 2 needs to be constructed Find the UMP level 10 test and compute the Type II Error probability

Question: The random variable A has pdf f(x) = e-x,x > 0. One observation is obtained on the random variable Y = X, and a test

The random variable A has pdf f(x) = e-x,x > 0. One observation is obtained on the random variable Y = Xθ, and a test of H0 : θ =1 versus H1 : θ = 2 needs to be constructed. Find the UMP level α = .10 test and compute the Type II Error probability.

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