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cielo
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Homework Statement
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.
Homework Equations
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.