设X和Y为两个随机变量,且P{X≥0,Y≥0}=3/7,P{X≥0}=P{Y≥0}=4/7,则P{max(X,Y)≥0}=_.
设X和Y为两个随机变量,且P{X≥0,Y≥0}=
,P{X≥0}=P{Y≥0}=
,则P{max(X,Y)≥0}=______.
3 |
7 |
4 |
7 |
数学人气:220 ℃时间:2020-05-01 06:53:43
优质解答
令:A={X<0},B={Y<0},则:P{max(X,Y)≥0}=1-P{max(X,Y)<0}=1-P{X<0,Y<0}=1-[1-P(.A+B)]=P(.A+B)=P(.A+.B)=P(.A)+P(.B)-P(.AB)=P{X≥0}+P{Y≥0}-P{X≥0,Y≥0}=47+47-37=57,故答案为:57...
我来回答
类似推荐