# 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.

(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.

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