I have been working on this problem and can't seem to get the answer. Problem: X is a continuous random variable with a proabaility density function: f(x) = 1/4 if -2<=x<=2 0 other wise Let Y=1/X. Then P(Y<=1/2) = ? This is how I approached the problem: P(Y<=1/2)=P(1/x=1/2) =P(X>=2) Taking the intergral of f(x) with limits of integration -2,2. My answer is 1. However the answer given is 1/2. Any ideas.