(adsbygoogle = window.adsbygoogle || []).push({}); Let X be a continuous random variable. What value of b minimizesE(|X-b|)? Giv

1. The problem statement, all variables and given/known data

Let X be a continuous random variable. What value of b minimizesE(|X-b|)? Give the derivation

3. The attempt at a solution

E(|X - b|)

E[e - [itex]\bar{x}[/itex]] = E(X)

E(|E[e - [itex]\bar{x}[/itex]] - b|)

so ?,.... 0 = E(|E[e - [itex]\bar{x}[/itex]] - E|)

but this is a graduate course, I have a funny feeling that I am supposed to derive this using a the integral of an Expected value.

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# Homework Help: Let X be a continuous random variable. What value of b minimizes E (|X-b|)? Giv

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