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)
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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
设X是一随机变量,E(X) =μ,D(X) =σ2(μ,σ> 0常数),则对任意常数C必有
A. E (X – C)2 = E (X 2) – C2
B. E (X – C)2 = E (X-μ)2
C. E (X – C)2 < E (X-μ)2
D. E (X – C)2≥E (X-μ)2
设X,Y是两个相互独立的且均服从正态分布N(0,0.5)的随机变量,则D(|X-Y|)=
A. 1-2/π
B. 1+1/π
C. 1+2/π
D. 1-1/π