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Moments and Function Generator of Moments An urn contains 4 red balls, 3 blue, 2 green...

Moments and Function Generator of Moments

An urn contains 4 red balls, 3 blue, 2 green and one yellow. Three balls are obtained from this sample (without replacement). Let X be the random variable that represents the number of red balls that are extracted.
a) Find the probability function of the random variable X
b) Find the first moment of the random variable
c) Find the second moment of the random variable
d) Find the third moment of the random variable
e) Find the fourth moment of the random variable
f) Find the moment generator function.

Math   Statistics-And-Probability   
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