Question: Let X be one observation from a population with pmf 2 That is, X takes on values f(o; 0) (a) Find the MLE of

Let X be one observation from a population with pmf 2 That is, X takes on values f(o; 0) (a) Find the MLE of O. 1, 0, 1 with probabilities f (1; 0) f (1; 0) 0/2 and (b) Define the estimator T (X) by T (X) 2 if X 1 and zero otherwise. Find a better estimator than T (X) and prove that it is better.

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