【二维随机变量XY的联合密度函数为F(x,y)=Ke^-(2x+y)Xgt;0,ygt;0O,求系数K】
<p>问题:【二维随机变量XY的联合密度函数为F(x,y)=Ke^-(2x+y)Xgt;0,ygt;0O,求系数K】<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">曹兰兰的回答:<div class="content-b">网友采纳 x(0,正无穷)y(0,正无穷)F(x,y)=x(0,正无穷)(-Ke^(-2x+y)(y=+无穷)+Ke^(-2x+y)(y=0)) =x(0,正无穷)(0+ke^-2x) =-K/2e^-2x(x=+无穷)+k/2*e^-2x(x=0) =k/2=1 K=2
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