A. $P\{X \geq 60\} = 0.0228$
B. $P\{X \geq 60\} = 0.9772$
C. $\frac{X - 50}{25} \sim N(0, 1)$
D. $\frac{X - 50}{5} \sim N(0, 1)$
5.设随机变量 sim N(1,4) ,已知 Phi (0.5)=0.6915 , Phi (1.5)=0.9332 ,则-|||- |X|lt 2 = __
11.填空题-|||-设随机变量X与Y相互独立,且 sim N((720.30)^2),-|||-sim N(640,(25)^2), 则 X+Ygt 140
设 X sim N(3, 4),试求:(1)P(5 < X < 9);(2)P(X > 7)。(已知 Phi(1) = 0.8413,Phi(2) = 0.97
设 X sim N(2, sigma^2),已知 P(2 leq X leq 4)= 0.4,则 P(X leq 0)= ( )。A. 0.4B. 0.3C.
设随机变量 X sim N(1,4),Phi(x) 为标准正态分布的分布函数,已知 Phi(1)=0.8413,Phi(0)=0.5,则事件 1 leq X l
若随机变量 X sim N(0,1) ,Phi(x)为其分布函数,则 Phi(x)+ Phi(-x)= ()。A. -1B. 0C. 1D. 2
已知X~N(1,4),则P |X-1| leq 2 =______Phi(1)=0.8413,Phi(2)=0.977236.(1.6分)已知X~N(1,4),
设 X sim N(mu, sigma^2),要使 Y sim N(0,1),则A. $Y = \sigma X + \mu$B. $Y = \sigma X
9、若随机变量 sim N(-2,4) , sim N(3,9) ,且X与Y相互独立。设 =2x-y+5 ,则 sim N(-2,25) ___
设sim N(1,2),sim N(1,2),且X与Y相互独立,则sim N(1,2)________.设,,且X与Y相互独立,则________.