Suppose a randomly chosen individual’s verbal score X and quantitative score Y on a nationally administered aptitude examination have joint pdf f(x, y)
{

2 5

(2x 3y) 0  x  1, 0  y  1 0 otherwise 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?