数学试题讲解

假设随机变量

X \sim N (1, 2^{2}), X_{1}, X_{2}, \dots, X_{100}

是来自总体

X

的简单随机样本,

\bar{X}

是样本均值, 已知

Y = a \bar{X} + b \sim N (0, 1)

, 则

a = - 5, b = 5

. B.

a = 5, b = 5

. C.

a = \frac{1}{5}, b = - \frac{1}{5}

. D.

a = - \frac{1}{5}, b = \frac{1}{5}