Suppose X1,..., X 169 are a random sample from a Poisson(a) distribution, where a > 0...

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Suppose X1,..., X 169 are a random sample from a Poisson(a) distribution, where a > 0 is an unknown parameter. Let = X be an estimator of a. Find the bias, variance and mean squared error of as an estimator of a, leaving your answers in terms of the unknown parameter a. Suppose X1,..., X 169 are a random sample from a Poisson(a) distribution, where a > 0 is an unknown parameter. Let = X be an estimator of a. Find the bias, variance and mean squared error of as an estimator of a, leaving your answers in terms of the unknown parameter a.