After extensive atmospheric sampling and data analysis, an environmental scientist decides that the distribution of measurements of the sulfur dioxide concentration X (in parts per million) in the air near a certain oil refinery can be closely approximated by the density function f(x) = ( 4 5 x 3 0 x < 1, 4 5 e 1x x > 1. (a) Find the probability P(X > 1). (b) Find the probability P(X > 1/3). (c) Find the probability P( 1/2 < X < 2 | X > 1/3). (d) Find the CDF F(x).