Assume X is a random variable under a probability space in which the sample space ?= {a,b,c,d,e}. Then if I am told that:(adsbygoogle = window.adsbygoogle || []).push({});

X({a}) = 1

X({b}) = 2

X({c}) = 3

X({d}) = 4

X({e}) = 5

And that:

P({a}) = P({c}) = P({e}) = 1/10

P({b}) = P({d}) = 7/20

Find the C.D.F of X, the density of X and the moment generating function of X.

Thanks in advance!

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# Moment generating function, CDF and density of a random variable

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