If the moment-generating function of a distribution is MX(t)=lambda/lambda-t for t<lambda then what are mean and variance of the distribution respectively?

Q40Section I (Objective (Q1–Q80))40 of 79

Distribution Theory — reading off exponential moments from its MGF

If the moment-generating function of a distribution is

$M_X(t)=\frac{\lambda}{\lambda-t} \text{ for } t<\lambda$

then what are mean and variance of the distribution respectively?

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