A box contains 10 balls, numbered 1 through 10. A ball is picked at random
and then a second ball is picked at random from the remaining 9 balls. A
random variable X is defined as the absolute numbers differ between two
picked balls. And, a random variable Y is defined as the numbers of the
first picked ball among cases of the numbers of the second picked ball are
larger. (20%)
(1) Find the expected value of X , E(X) . (5%)
(2) Find the variance of X , Var(X) . (5%)
(3) Find the expected value of Y . (5%)
(4) Find the variance of Y . (5%)
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