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Let X1, X2, . . . , Xn be a random sample from N(0, 2). (1) Find a sufficient statistic Y for 2. (2) Show

Let X1, X2, . . . , Xn be a random sample from N(0, 2). (1) Find a sufficient statistic Y for 2. (2) Show that the maximum likelihood estimator for 2 is a function of Y . (3) Is the maximum likelihood estimator for 2 unbiased?

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