单选题 设相互独立的两随机变量X,Y均服从E(1)分布,则P{1<min(X,Y)≤2}的值为
  • A.e-1-e-2
  • B.1-e-1
  • C.1-e-2
  • D.e-2-e-4
【正确答案】 D
【答案解析】[解析] P{1<min(X,Y)≤2}=P{min(X,Y)>1}-P{min(X,Y)>2}
=P{X>1,Y>1}-P{X>2,Y>2}
=P{X>1}P{Y>1}-P{X>2}P{Y>2}
=e-1·e-1-e-2e·e-2=e-2-e-4