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2. Suppose that two independent binomial random variables X1 and X2 are observed where X1 has a Binomial(n; p) distribution and X2 has a Binomial(2n;

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2. Suppose that two independent binomial random variables X1 and X2 are observed where X1 has a Binomial(n; p) distribution and X2 has a Binomial(2n; p) distribution. You may assume that n is known, whereas p is an unknown parameter. Define two possible estimators of p P1 = 3n (X1 + X2) and P2 = 2n (X1 + 0.5X2)

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