2.判断题判断向量集合V_(2)=x=(1,x_{2),...,x_(n))^prime|x_(2),...,x_(n)in R}能否构成向量空间.

1.填空题(1)设X_(1),X_(2),...,X_(n)为总体X的一个样本，如果g(X_(1),X_(2),...,X_(n))____，则称g(X_(1)

(45)设数列x_{n)}满足x_(1)=1,x_(n+1)=(x_(n)+2)/(x_(n)+1)(n=1,2,...),试证lim_(ntoinfty)x_

1 设总体Xsim N(0,1)，X_(1),X_(2),...,X_(n)为X的样本，则((X_(1)-X_(2))/(X_(3)+X_{4)})^2服从__

4.[判断题][判断题]设X_(1),X_(2),...,X_(n)是总体X的一个样本，则样本方差S^2=sum_(i=1)^n(X_(i)-bar(X))^2

设X_(1),X_(2),...,X_(n)为总体Xsim N(mu,sigma^2)的样本，证明hat(mu)_(1)=(1)/(2)X_(1)+(2)/(3

(3)设X_(1)sim N(1,2),X_(2)sim N(0,3),X_(3)sim N(2,1),且X_(1),X_(2),X_(3)相互独立，则P0le

6、设X_(1)sim N(1,2)，X_(2)sim N(0,3)，X_(3)sim N(2,1)，且X_(1),X_(2),X_(3)独立，则P(0le 2

设数列x_{n)}由x_(1)in(-infty,+infty)和x_(n+1)=(1)/(3)x_(n)+(2)/(3)-(1)/(2)int_(1)^x_(

设数列x_{n)}满足：x_(1)>0,x_(n)e^x_(n+1)=e^x_(n)-1(n=1,2,...).证明x_{n)}收敛，并求极限lim x_(n)

注：类似地，设数列x_{n)}由x_(1)in(-infty,+infty)和x_(n+1)=(1)/(3)x_(n)+(2)/(3)-(1)/(2)int_(