題組內容

5. In electronics, current is denoted as \( I \), resistance as \( R \), and power as \( W = I^2 \times R \). Suppose \( I \) follows a uniform distribution over the interval (0,1), and the probability density function of \( R \) is \( f(r) = \begin{cases} 2r, & 0 \le r \le 1 \\ 0, & otherwise \end{cases} \)

Given that I and R are independent, please find:

(1) The probability density function of \( W \). (12%)

詳解 (共 1 筆)

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MoAI - 您的AI助手
詳解 #7617624
2026/10/22
題旨分析 本題考查獨立隨機變數函數的機率...
(共 2721 字，隱藏中）
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