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Suppose a sample of size 1 is taken from the pdf fy (y) = (1/A)e-/A, y> 0, for the purpose of testing: The null

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Suppose a sample of size 1 is taken from the pdf fy (y) = (1/A)e-/A, y> 0, for the purpose of testing: The null hypothesis will be rejected if y 3.20. Ho: A=1 US H: A > 1 (a) Calculate the probability of committing a Type I error. (b) Calculate the probability of committing a Type II error when A-4/3. (c) In the traditional exponential distribution fy (y)=Ae, we interpret A to be the expected # of events in a time period T. Given this, what would be the interpretation of the 1/A parameter used here in problem 10?

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