Let p be a probability distribution on {0, 1, 2} with moments 1 = 1, 2 =

Question:

Let p be a probability on {0, 1, 2} with moments μ1 = 1, μ2 = 3/2.
(a) Find its ordinary generating function h(z).
(b) Using (a), find its moment generating function.
(c) Using (b), find its first six moments.
(d) Using (a), find p0, p1, and p2.
Distribution
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