Given:
$M_x(w) = K/(2-w)$
Find $K$.
That is all what we are given. How exactly do I go about solving this?
2026-03-29 16:54:20.1774803260
Moment Generating Function - Find K
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We know that, by definition of a moment generating function, $$M_X(w)=E(\exp(wX)), w \in \mathbb R.$$ In particular, we have for $w=0:$ $M_X(0)=E(\exp(0))=E(1)=1.$ (Regarless of what's the random variable $X$ and its moment generating function $M_X$)
What does this imply for $M_X(w)=K/(2-w)$?