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),x>0,y>0; f(x,y)=0(其他)--------------------------------------------------------------------------------------------------已知二维随机变量(X,Y)的联合概率密
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 21:51:28
![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),x>0,y>0; f(x,y)=0(其他)--------------------------------------------------------------------------------------------------已知二维随机变量(X,Y)的联合概率密](/uploads/image/z/519208-16-8.jpg?t=%E5%B7%B2%E7%9F%A5%E4%BA%8C%E7%BB%B4%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F%28X%2CY%29%E7%9A%84%E8%81%94%E5%90%88%E6%A6%82%E7%8E%87%E5%AF%86%E5%BA%A6%E5%87%BD%E6%95%B0%E4%B8%BA+f%28x%2Cy%29%3D2e%5E%28-2x-y%29%2Cx%3E0%2Cy%3E0%3B+f%28x%2Cy%29%3D0%28%E5%85%B6%E4%BB%96%29--------------------------------------------------------------------------------------------------%E5%B7%B2%E7%9F%A5%E4%BA%8C%E7%BB%B4%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F%28X%2CY%29%E7%9A%84%E8%81%94%E5%90%88%E6%A6%82%E7%8E%87%E5%AF%86)
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),x>0,y>0; f(x,y)=0(其他)--------------------------------------------------------------------------------------------------已知二维随机变量(X,Y)的联合概率密
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),x>0,y>0; f(x,y)=0(其他)
--------------------------------------------------------------------------------------------------
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),x>0,y>0; f(x,y)=0(其他)
求(X,Y)落在区域D:x>=0,y>=0与x+y>=1内的概率
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),x>0,y>0; f(x,y)=0(其他)--------------------------------------------------------------------------------------------------已知二维随机变量(X,Y)的联合概率密
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)
tg