Question

Asked Nov 9, 2019

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Escalate - Show every mynute steps in DETAILED!

Step 1

Given X is binomial distribution with parameters n,p.

The moment generating funciton of binomial distribution is given below

Step 2

If X is a random variable with with moment generating function M_{X}(t) then

E[X^{n}] = M_{X}^{n}(0)

where M_{X}^{n}(t) is nth derivative of M_{X}(t).

Deriving the moment generating function three times we get the following

We use the chain rule to derivate the given moment generating function.

Step 3

Derivating the moment generating function for fou...

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