Question: Suppose that a persons score X on a certain examination will be a number in the interval 0 X 1 and that X

Suppose that a person€™s score X on a certain examination will be a number in the interval 0 ‰¤ X ‰¤ 1 and that X has a continuous distribution for which the p.d.f. is as follows:
Suppose that a person€™s score X on a certain examination

Determine the prediction of X that minimizes
(a) The M.S.E.
(b) The M.A.E.

f(x)=1x+4 for 0 < x < 1, 0 otherwise.

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