Let X be a random variable with density (a) What value of K will make fX(y) a

Question:

Let X be a random variable with density

(a) What value of K will make fX(y) a true density?
(b) What is the CDF of X?
(c) Find E(2X €“ 1).
(d) Find variance (X).
(e) Find the approximate value of P{X€“bar > 0}, where X is the sample mean from a random sample of size n = 100 from the above distribution.