The cdf of a random variable is given by

Fx

(x) = {

1

3

+ (

2

3

)(x + 1)

2 1 x 0

0 x < 1

Find the probability of the events

A={X > 1

3

}, B = {|X| 1}

C = {|X 1

3

| < 1}, D = {X < 0}