Suppose X is a discrete random variable with moment generating function 1 2 1 3t 4t Mx(t) + 3 + 12

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Suppose X is a discrete random variable with moment generating function
1
2
+
1
3t
4t
Mx(t)
e°
+
e
4
3
12
What is the probability mass function of X?
О Р(X — 1/4) 3 1/5, P(X — 2/3) — 1/4, Р(X — 1/12) — 1/5.
О Р(X — 3) — 1/4, Р(X — 4) — 2/3, Р(X — 5) %3D 1/12.
%3|
О Р (X — —3) %3D 1/4, Р(X — —-4) 3 2/3, Р(X%3D —5) — 1/12.
O P(X = 0) = 1/4, P(X = 1) = 2/3, P(X = 2) = 1/12.
Transcribed Image Text:Suppose X is a discrete random variable with moment generating function 1 2 + 1 3t 4t Mx(t) e° + e 4 3 12 What is the probability mass function of X? О Р(X — 1/4) 3 1/5, P(X — 2/3) — 1/4, Р(X — 1/12) — 1/5. О Р(X — 3) — 1/4, Р(X — 4) — 2/3, Р(X — 5) %3D 1/12. %3| О Р (X — —3) %3D 1/4, Р(X — —-4) 3 2/3, Р(X%3D —5) — 1/12. O P(X = 0) = 1/4, P(X = 1) = 2/3, P(X = 2) = 1/12.
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