Let X and Y be two independent random variables with U(0, theta). We are testing H_0: theta=1 against H_1: theta=2. The probability of type

Let X and Y be two independent random variables with U(0, theta). We are testing H_0: theta=1 against H_1: theta=2. The probability of type-I error and Power of the test for the critical region {X/Y>0.65} are respectively

Let X and Y be two independent random variables with U(0, theta). Then What is the pdf of U=X/Y?

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