2. Suppose we have a fair spinner with the numbers 1,2, and 3 on it. Let X be the number of spins until the first 3 occurs. Assuming that the spins are independent, the pdf of X is if r = 1,2, 3, ... f(x) = 0, %3D elsewhere what is the MGF of X?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2. Suppose we have a fair spinner with the numbers 1,2, and 3 on it. Let X
be the number of spins until the first 3 occurs. Assuming that the spins are independent,
the pdf of X is
if r = 1,2, 3, ...
f(x) =
0,
%3D
elsewhere
what is the MGF of X?
Transcribed Image Text:2. Suppose we have a fair spinner with the numbers 1,2, and 3 on it. Let X be the number of spins until the first 3 occurs. Assuming that the spins are independent, the pdf of X is if r = 1,2, 3, ... f(x) = 0, %3D elsewhere what is the MGF of X?
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