Question: Consider a random variable X which has the truncated Poisson distribution with pmf 1 p(x) = 1- e-2 - le-1 x ! , x =

Consider a random variable X which has the truncated Poisson distribution with pmf 1 p(x) = 1- e-2 - le-1 x ! , x = 2, 3, ... a) Derive the formula for u = E(X) and find the defining equation for the MM estimator of 2. Note that you can't solve this equation analytically! b) Suppose the observed sample is 3, 4, 4, 5, 4. Use R to solve the equation from part a) numerically and obtain an estimate of 2

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