设二维随机变量(X,Y)的概率密度为f(x,y)=cxy,0
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![设二维随机变量(X,Y)的概率密度为f(x,y)=cxy,0](/uploads/image/z/1489018-58-8.jpg?t=%E8%AE%BE%E4%BA%8C%E7%BB%B4%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F%28X%2CY%29%E7%9A%84%E6%A6%82%E7%8E%87%E5%AF%86%E5%BA%A6%E4%B8%BAf%28x%2Cy%29%3Dcxy%2C0)
设二维随机变量(X,Y)的概率密度为f(x,y)=cxy,0
设二维随机变量(X,Y)的概率密度为f(x,y)=cxy,0<=x<=1,0<=y<=1,问P{2X+Y=<1}
设二维随机变量(X,Y)的概率密度为f(x,y)=cxy,0
∫(0~1)∫(0~1) cxy =1
c/4=1
c=4
2x+y=1和两轴围成的区域完全在定义域内,所以不需要考虑特殊情况,比较简单
P(2X+Y
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