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revprev | Admin | Jul 3'24 at 13:55 | +1 | m | |
revcur | Admin | (Created page with "'''Solution: C''' The function <math>e(c) = E[(X-c)^2] </math> is a quadratic in <math>c</math> therefore its minimum is achieved when its derivative equals zero. Take the derivative and set it to zero: <math display = "block"> e'(c_0) =-2E[(X-c_0) = 0 \implies c_0 = E[X]. </math> Hence the minimizer equals the expected value, and therefore the answer is automatically <math>\sigma^2</math>.") | Jun 25'24 at 2:02 | +398 |