The random variable X has the following probability density function: fX(x) = ( xe−x , if x > 0 0, otherwise. (a) Find the moment generating function of X. (b) Using the moment generating function of X, find E[Xn] for all positive integers n. Your final answer should be an expression that depends only on n.

Follows are the solution to the given points:

Step-by-step explanation:

Given value:

For point a:

Moment generating function of X=?

Using formula:

integrating the values by parts:

Therefore, the moment value generating by the function is

In point b:

Using formula:

form point (a):

Differentiating the value with respect of t

when

25% is the answer

i can not answer the question due to the fact that you spelled "carton" as "cartoon", a cartoon is something you watch on tv, a carton is a box that holds things. and also you've been waiting for this question for a while so why don't you get off your lazy a** and try to figure it out for yourself for once!

step-by-step explanation:

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look above, and leave your comments down below, and don't for get a five stars and a and brainliest xd

sorry for the stars in the middle of words its because it wouldn't let me submit. xd