阿摩線上測驗登入

首頁 > 主題課程專用 > 無年度 - 主題課程_理工學院機率論：多元隨機變數#107950 >

題組內容

(40%) If X and Y are random variabies with joint probability density function (PDF),given by

(2) (6%) Please find the mean of the random variable X.

其他申論題

(d) (8%) Let Z = 3X + 2Y. Derive the moment generating function . You have to give the derivation, not just the an- swer.

(a)(8%) Determine the joint p.d.f. of z and w.

(b)(8%) Find the p.d.f. fz(x) and fw(w). Are z and w independent random variables?

(1) (6%) Piease find the marginal probability density function fx(x).

(3) (6%) Are the random variables X and Y independent? Please explain your answer.

(4) (6%) Are the random variables X and Y uncorrelated? Please expl answer.

(5) (10%) Please find the cumulative density function (CDF) of a random variable W =Y/X.

(6) (6%) Please find the PDF of the random variable W = Y/X.

(a) (10%) Find the marginal pdf of X.

(b) (10%) Find the expected value of Y.

阿摩線上測驗

提供最完整的考試資料庫，包含歷年試題、詳解、申論題等學習資源，
幫助學生有效準備各類考試。

© 2008-2026 Yamol Tech Ltd. All Rights Reserved.
阿摩線上測驗--最強大的互動線上測驗版權所有

如有任何問題或建議，歡迎聯繫我們