设随机变量_(1)sim N((M)_(1),({sigma )_(1)}^2)，_(1)sim N((M)_(1),({sigma )_(1)}^2)，_(1)sim N((M)_(1),({sigma )_(1)}^2)均未知，_(1)sim N((M)_(1),({sigma )_(1)}^2)与_(1)sim N((M)_(1),({sigma )_(1)}^2)相互独立。现有5个_(1)sim N((M)_(1),({sigma )_(1)}^2)的观察值，样本均值_(1)sim N((M)_(1),({sigma )_(1)}^2)，样本方差_(1)sim N((M)_(1),({sigma )_(1)}^2)，有4个_(1)sim N((M)_(1),({sigma )_(1)}^2)的观察值，样本均值_(1)sim N((M)_(1),({sigma )_(1)}^2)，样本方差为_(1)sim N((M)_(1),({sigma )_(1)}^2)（_(1)sim N((M)_(1),({sigma )_(1)}^2)）。取检验统计量_(1)sim N((M)_(1),({sigma )_(1)}^2)检验_(1)sim N((M)_(1),({sigma )_(1)}^2)与_(1)sim N((M)_(1),({sigma )_(1)}^2)的方差是否相等的拒绝域是？

例3.8 设二维随机变量 (X,Y)sim N((M)_(1)(M)_(2);({sigma )_(1)}^2,({sigma )_(2)}^2;rho ) ,

464 已知二维随机变量 (X,Y)sim N((m)_(1),(mu )_(2);({sigma )_(1)}^2,({sigma )_(2)}^2,P)((

10、设随机变量 sim N(({H)_(1)}({O)_(1)},({O)_(1)}^2) sim N((mu )_(2),({sigma )_(2)}^2)

4.设随机变量X与Y相互独立,且-|||-.sim N((M)_(1),({sigma )_(1)}^2) , sim N((M)_(2),({O)_(2)}^

例3.8 设二维随机变量 (X,Y)sim N((mu )_(1),(mu )_(2);({sigma )_(1)}^2,({sigma )_(2)}^2;rh

sim N((M)_(1),({O)_(1)}^2) sim N((mu )_(2),({sigma )_(2)}^2) ,其中μ1未知, _(2)=3.(单选

已知随机变量sim N(1,(2)^2) sim N(0,1)，并且它们相互独立，则sim N(1,(2)^2) sim N(0,1)_________.已知随

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设随机变量 sim t(n), 求证 ^2sim F(1,n).