已知二维随机变量(X,Y)的联合概率密度函数为f(x,y)=2e^(-2x-y),xgt;0,ygt;0;f(x,y)=0(其他)--------------------------------------------------------------------------------------------------已知二维随机变量(X,Y)的联合概率密
<p>问题：已知二维随机变量(X,Y)的联合概率密度函数为f(x,y)=2e^(-2x-y),xgt;0,ygt;0;f(x,y)=0(其他)--------------------------------------------------------------------------------------------------已知二维随机变量(X,Y)的联合概率密<p>答案：↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">胡宗武的回答：<div class="content-b">网友采纳 P=∫(0-->1)e^(-y)dy∫(0-->1-y)2e^(-2x)dx =∫(0-->1)e^(-y)(1-e^(2(1-y))dy =∫(0-->1)(e^(-y)-e^2e^y)dy=(1-e)(1+e^2)
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