Question 1042953
The moment generating function for X (M(t)) is defined for this problem as
:
M(t) = summation from 0 to infinity of (E(x^n) / n!) * t^n
:
M(t) = summation from 0 to infinity of (n! / n!) * t^n
:
M(t) = summation from 0 to infinity of t^n
:
therefore
:
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answer is a)
M(t) = 1 / (1 - t)
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: