4.2.1 The cumulative distribution function of random variable X is F X ( x ) = 0 ( x + 1 ) /2 1 x < 1 , 1 x < 1 , x 1. (a) What is P [ X > 1/2 ] ? (b) What is P [ 1/2 < X 3/4 ] ? (c) What is P [ X 1/2 ] ? (d) What is the value of a such that P [ X a ] = 0.8 ? .