If the moment-generating function of X is M(t) = 2 5 et + 1 5 e2t + 2 5 e3t , find the

Chapter 2, Problem 2.3-11

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QUESTION:

If the moment-generating function of X is

\(M(t)=\frac{2}{5} e^{t}+\frac{1}{5} e^{2 t}+\frac{2}{5} e^{3 t}\).

find the mean, variance, and pmf of X.

Questions & Answers

QUESTION:

If the moment-generating function of X is

\(M(t)=\frac{2}{5} e^{t}+\frac{1}{5} e^{2 t}+\frac{2}{5} e^{3 t}\).

find the mean, variance, and pmf of X.

ANSWER:

Step 1 of 4

Given:

The moment generating function of X is given as,

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