设两个相互独立的随机变量X和Y分别服从正态分布N (0,1)和N (1,1),则()
A. P{X +Y≤0}=0.5
B. P{X+Y≤1}=0.5
C. P{X-Y≤0}=0.5
D. P{X-Y≤1}=0.5
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设两个随机变量X和Y相互独立且同分布:P{X = -1}= P{Y = -1}= 1/2,P{X =1}= P{Y = 1}= 1/2,则下列各式中成立的是( )
A. P{X = Y }= 1/2
B. P{X = Y }= 1
C. P{X +Y = 0}= 1/4
D. P{XY = 1}= 1/4
设(X, Y)~N(1, 2, 4 , 6,ρ), 则 X服从
A. N(1, 2)
B. N(1, 4)
C. N(2, 4)
D. N(2, 6)
设随机变量X与Y相互独立,且D(X) = 4,D(Y) = 2,则D (3x-2y) =
A. 8
B. 16
C. 28
D. 44
设二维随机变量 (X , Y )服从二维正态分布,则随机变量X + Y与X – Y不相关的充要条件为( )
A. E (X ) = E (Y )
B. E (X 2) – [E (X )]2 = E (Y 2 ) – [E (Y )]2
C. E (X 2 ) = E (Y 2)
D. E (X 2) + [E (X )]2 = E (Y 2 ) + [E (Y )]2