Problem 9 The pdf of a continuous random variable X is given by fx(x) =2c if1 1).

Problem 9 The pdf of a continuous random variable X is given by fx(x) =2c if1

(and equals zero for other values of x). (a) Find c and plot the density. (b) Compute and plot the cumulative distribution function of X.

(c) Find P(|X| > 1/2), P(X = 0) and P(X > 1).