題組內容
5. (6% for each, totally 24%) Let $X$ and $Y$ be two independent random variables with identical uniform distribution over $[0,2]$. Let $Z = |Y - X|$.
(a) Find the probability \( \mathrm{P}(X < 2Y) \).
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5. (6% for each, totally 24%) Let $X$ and $Y$ be two independent random variables with identical uniform distribution over $[0,2]$. Let $Z = |Y - X|$.
(a) Find the probability \( \mathrm{P}(X < 2Y) \).