1. The problem statement, all variables and given/known data Let X be a continuous random variable with median m. Minimize E[|X - b|] as a function of b. Hint: Show that E[|X - b|] = E[|X - m|] + 2 [tex]\int[/tex] (x - b) f(x) dx , where the integral is from b to m. 2. Relevant equations 3. The attempt at a solution I wanted to try a solution but I even don't know how to determine whether it is minimum or not. Please help.