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Using the MGFs that you have derived in problem 1 above (and/or in lecture notes), identify the distributions of the random variables with the following moment-generating functions.
a) M(t)=(1−4t)^2 b) M(t)= 1/(1−3.2t)
c) M(t)= e^(−5t∣6t^2)

Respuesta :

MGFs means moment generating function. Every distribution function has a unique mgf

Make X a random number. We say that X has a moment generating function, and the function

Mₓ(t) = E(e^tx)   is referred to as the moment generating function of X

However, not all random variables have a moment generating function. However, every random variable has a unique function—an additional transform with properties comparable to those of the mgf.

The second creating capability (mgf) is a capability frequently used to describe the circulation of an irregular variable.

The moment-generating function is extremely useful for the following reasons:

1. Moments can be easily calculated with it; At zero, its derivatives are equivalent to the random variable's moments;

2. The mgf of a probability distribution is what makes it unique.

The question is incomplete so, I've answered in general

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https://brainly.com/question/15061360

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