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对随机变量X Y 有P(X≥0,Y≥0)=3/7 P(X≥0)=P(Y≥0)=4/7 求P(max(X,Y)≥0),P(min(X,Y)
人气:246 ℃ 时间:2020-03-19 19:14:11
解答
P(max(X,Y)≥0)=P(X≥0或Y≥0)= P(X≥0)+P(Y≥0)-P(X≥0,Y≥0)=4/7+4/7-3/7=5/7
P(min(X,Y)<0)=1-P(min(X,Y)≥0)=1-P(X≥0,Y≥0)=1-3/7=4/7
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