4.(1)设样本X1,X 2,···,X6来自总体N(0,1), =(({X)_(1)+(X)_(2)+(X)_(2))}^2-|||-+(({x)_(4)+(x)_(3)+(x)_(6))}^2 ,试确定常数C使CY服从x^2分布.-|||-(2)设样本X1,X 2,···,X5来自总体N(0,1), =dfrac (C({X)_(1)+(X)_(2))}({({{X)_(3)}^2+({X)_(4)}^2+({X)_(5)}^2)}^1/2} ,试确定常数C使-|||-Y服从t分布.-|||-(3)已知 sim t(n) ,求证 ^2sim F(1,n) 。

4.(1)设样本x1,x2,···,X6来自总体N(0,1), =(({X)_(1)+(X)_(2)+(X)_(3))}^2+-|||-(({X)_(4)+(X

4.(1)设样本x1,x2,···,X6来自总体N(0,1), =(({X)_(1)+(X)_(2)+(X)_(3))}^2+((X)_(4)+-|||-_(5

4.(1)设样本X1,X2,···X6来自总体N(0,1), =(({X)_(1)+(X)_(2)+(X)_(3))}^2+((X)_(4)+-|||-_(5)

设总体X~ N(0,1),X1 , X2,…, X6为来自总体X的样本,=(({X)_(1)+(X)_(2)+(X)_(3))}^2+(({X)_(4)+(X)

设X1,X2,6,X6来自总体N(0,1), =(({X)_(1)+(X)_(2)+(X)_(3))}^2+(({X)_(4)+(X)_(5)+(X)_(6))

(5)设样本x1,x2,···,x 6来自总体N(0,1), =(({X)_(1)+(X)_(2)+(X)_(3))}^2+-|||-(({X)_(4)+(X)

设样本X1,X2,X3,X4,X5来自总体N(0,1),设样本X1,X2,X3,X4,X5来自总体N(0,1),设样本X1,X2,X3,X4,X5来自总体N(0

4.第六章4(1),设样本x1,x2 x1,x4,x4,x,来自总体N(0,1), =(({x)_(2)+(x)_(2)+(x)_(2))}^2+(({x)_(

设总体sim N(0,1) X1,X2,···,X6是来自总体X的简单随机样本sim N(0,1) X1,X2,···,X6分别为样本均值和样本方差sim N(

(2)设样本X1,X2,···,X5来自总体N (0,1), =dfrac (C({X)_(1)+(X)_(2))}({({{X)_(3)}^2+({X)_(4