Suppose X1, X2, . . . , Xn are i.i.d. observations from aPoisson distribution with probability mass function (PMF)
(a) (5 points) Find the MLE of ?.
(b) (3 points) Find the MLE of the probability that a newobservation from the underlying distribution is equal to 1. (Hint:Use the invariance property of the MLE.)
(c) (4 points) Find the MLE of the probability that a newobservation from the underlying distribution is greater than orequal to 1.
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