Please no written by hand solution and no img (1.) Suppose X₁, X2,..., Xn is i.i.d and follows a Poisson distribution with parameter X, that isX²e-AE[X] =A, E[X²] = 1² + X.fx(x) =1Find the maximum likelihood estimator of X.(2.) Explain whether the estimator obtained above is a minimum variance unbiased estimator,and if so, prove this.

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Answered: (1.) Suppose X₁, X2,..., Xn is i.i.d…

Linear Algebra: A Modern Introduction

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(1.) Suppose X₁, X2,..., Xn is i.i.d and follows a Poisson distribution with parameter X, that is X²e-A 2! E[X]=A, E[X²] = 1² + A. Find the maximum likelihood estimator of A. fx(x) =