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The Annual Income (In Thousands of Dollars) of All Ten 30,25,50,48,30,30,60,42,38,1530,25,50,48,30,30,60,42,38,15

Question 30

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The annual income (in thousands of dollars) of all ten entries in a lottery are 30,25,50,48,30,30,60,42,38,1530,25,50,48,30,30,60,42,38,15 , and their chances of winning are all equal.
-If we want to predict the annual income of the winner, what prediction maximizes the expected reward if the penalty is equal to 15 times the square of the size of the error?

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