Question: 6.17 The pmf of a random variable X is given below. p(1) = .1 + p(2) = .2 + p(3) = .2 + 3 p(4)

6.17 The pmf of a random variable X is given below. p(1) = .1 + p(2) = .2 + p(3) = .2 + 3 p(4) = .1 - p(5) = .4 - 4 In a test of H0 : = 0 versus H1 : = 0.1, H0 is rejected when X = 1, 2, 3. (a) What is the probability of a Type 1 error? (b) Is this a powerful test?

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