I want the step by step answer.

Answer the following questions. 1 Suppose that {X, : t = 1, 2, .., n) is a set of IID Poisson random variables with unknown parameter 2.. Derive the joint probability mass function of {X, : t = 1,2, ..., n]. 2 Compute the expected log-likelihood function of the Poisson random variable with unknown parameter 2.. 3 Verify that the maximum of the expected log-likelihood function is attained when 1 = 2 . . 4 Derive the sample average of the individual log-likelihood function and from this define the maximum-likelihood estimator (MLE). 5 Compute the score function. 6 Obtain the asymptotic distribution of the MLE