【正确答案】

【答案解析】根据简单随机样本各分量Xi相互独立且与X同分布，有 Fx(x)=P{min(X1，X2…，Xn-1)≤x}=1-P{min(X1，X2…，Xn-1)＞x} =1-P{X1＞x，X2＞x，…，Xn-1＞x}=1-P{X1＞x}P{X2＞x}…P{Xn-1＞x} =1-[1-P{X1≤x}][1-P{X2≤x}]…[1-P{Xn-1≤x}]=1-[1-F(x)]n-1． FY(y)=P{Xn≤y}=F(y) G(x，y)=P{min(X1，…，Xn-1)≤x，Xn≤y}=P{min(X1，…，Xn-1)≤x}P{Xn≤y} ={1-[1-F(x)]n-1}F(y)．