Suppose X1, . . . , Xn are i.i.d. from a Poisson distribution with parameter λ, which is unknown. (a) Find with justification the MLE for λ. (b) Find the standard error of your estimate in part (a)....

Suppose X1, . . . , Xn are i.i.d. from a Poisson distribution with parameter λ, which is unknown.

(a) Find with justification the MLE for λ.
(b) Find the standard error of your estimate in part (a).

(c) Can you estimate the standard error from part (b)?