Question: 1.) Let X be a continuous random variable uniformly distributed on the interval [4,7]. let x be point within [4,7]. Please answer parts a-e given

1.) Let X be a continuous random variable uniformly distributed on the interval [4,7]. let x be point within [4,7]. Please answer parts a-e given this information. Please show all work and all steps for all parts a-e to get marked as a helpful answer.

a.) Compute F(x) using the definition of F, the distribution function of X

b.) In above setup how much is F(8)?

c.) How much is E[X]?

d.) How much is SD(X)?

e.) Let M(t) be the moment generating function of the above random variable X. How mcuh is M(1)?

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