題組內容
6. (10%) Let $f(x) = \frac{1}{6}, 0 \le y \le 4, y \le x \le y + 2$ be the joint pdf of X and Y.
(b) Find the conditional expectation of \( X \) given \( Y = y \).
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6. (10%) Let $f(x) = \frac{1}{6}, 0 \le y \le 4, y \le x \le y + 2$ be the joint pdf of X and Y.
(b) Find the conditional expectation of \( X \) given \( Y = y \).