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2. Let X,..., X be an iid random sample from a distribution with PDF (x; 0) = 0x0, 0 < x < 1, and

2. Let X,..., X be an iid random sample from a distribution with PDF (x; 0) = 0x0, 0 < x < 1, and > 0 is an unknown parameter. (a) (6%) Find the MVUE of 1/0 (b) (6%) Does the variance of the MVUE of 1/0 attain the CRLB? (c) (6%) Determine a size-a UMP test for Ho: 0 = 5 vs H : 0 < 5.

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