1. The problem statement, all variables and given/known data Let X be a random variable with probability density function: 0.048(5x-x2) IF 0 < x < 5 0 otherwise Find the cumulative distribution function of X a) If x ≤ 0, then F(x) = b) If 0 < x < 5, then F(x) = c) If x ≥ 5, then F(x) = 2. Relevant equations Not quite sure 3. The attempt at a solution The answer to a) is 0. The answer to c) is 1. I am making the reasonable assumption that a) is 0 because there is no probability at that point, and that c) is 1 because after that, all probability has been "used" so to speak. However, integrating the function between 0 and 5 does not work. It seems as if my professor totally skipped over teaching us this particular type of problem. Statistics usually makes a good deal of sense to me, but this is pretty foreign.