Moment generating function, CDF and density of a random variable

[icup007]

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:

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!

 

[economicsnerd]

I don't think it's a good use of people's time here to do your homework for you.

Have you started? If there's a place where you're getting stuck, I'm sure people can be helpful.