1. Suppose that the p.d.f. of a random variable X is given by: f (x) = 2x for 0

1. Suppose that the p.d.f. of a random variable X is given by: 2x for 0 < x < 1 0 otherwise (a) Find its c.d.f. and sketch its graph. (Hint: The c.d.f. satisfies that F = f@) ) (b) Find E(X) (Hint: E(x) = where g@) satisfies that g' (c) = x f (x)). (c) Find var(X) (Hint: E(x2) = - = where g@) satisfies that g' (c) = x2f@)). g(l) g(l) g(o)