Question: Suppose X is a discrete random variable with probability mass function (p.m.f.) if k 1 -B () k if k > 2 P(X =

Suppose X is a discrete random variable with probability mass function (p.m.f.)

Suppose X is a discrete random variable with probability mass function (p.m.f.) if k 1 -B () k if k > 2 P(X = k) = where is an as-of-yet undetermined constant. (a) Find the value of p. = otherwise (b) Find Mx (t), the moment-generating function of X. Be sure to specify for which values of t your expression is finite! (c) Use your answer from part (b) to compute E[X].

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