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设X,Y为随机变量且P{X>=0,Y>=0}=3/7,P{X>=0}=P{Y>=0}=4/7,求P{max(X,Y)>=0}
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设X,Y为随机变量且P{X>=0,Y>=0}=3/7,P{X>=0}=P{Y>=0}=4/7,求P{max(X,Y)>=0}
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答案和解析
P(X>=0,Y>=0) + P(X>=0,Y=0),
所以,P(X>=0,Y=0) - P(X>=0,Y>=0) =4/7 - 3/7 = 1/7 .
同样的,P(X=0) = P(Y>=0) - P(X>=0,Y>=0) =4/7 - 3/7 = 1/7 .
而 P(X>=0,Y>=0) + P(X>=0,Y
所以,P(X>=0,Y=0) - P(X>=0,Y>=0) =4/7 - 3/7 = 1/7 .
同样的,P(X=0) = P(Y>=0) - P(X>=0,Y>=0) =4/7 - 3/7 = 1/7 .
而 P(X>=0,Y>=0) + P(X>=0,Y
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