Find the distributions of the random variables that have

Chapter 3, Problem 153E

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QUESTION:

Find the distributions of the random variables that have each of the following moment-generating functions:
a.
\(m(t)=\left[(1 / 3) e^{t}+(2 / 3)\right]^{5}\).
b. \(m(t)=\frac{e^{t}}{2-e^{t}}\).
c. \(m(t)=e^{2\left(e^{t}-1\right)}\).

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QUESTION:

Find the distributions of the random variables that have each of the following moment-generating functions:
a.
\(m(t)=\left[(1 / 3) e^{t}+(2 / 3)\right]^{5}\).
b. \(m(t)=\frac{e^{t}}{2-e^{t}}\).
c. \(m(t)=e^{2\left(e^{t}-1\right)}\).

ANSWER:

Step 1 of 2

We will find the distributions of the random variables for each of the given moment-generating functions given above.

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