Question: Suppose a randomly chosen individual's verbal score X and quantitative score Y on a nationally administered aptitude examination have a joint pdf You are asked

Suppose a randomly chosen individual's verbal score X and quantitative score Y on a nationally administered aptitude examination have a joint pdf

You are asked to provide a prediction t of the individual's total score X + Y. The error of prediction is the mean squared error E[(X + Y - t)2]. What value of t minimizes the error of prediction?

f(x, y)- otherwise

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