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 \( \mathrm{P}(X < 2Y) \).