(1)设X、Y独立同(0,dfrac (1)(2))分布，试求(0,dfrac (1)(2))的方差 。(2)设随机向量(0,dfrac (1)(2)) 0 newline 0, 其他 " data-width="365" data-height="59" data-size="6857" data-format="png" style="max-width:100%">若Z=2X+Y 试求DZ。

设二维随机变量(X,Y)的分布律为-|||-Y 0 1 2-|||-0 dfrac (1)(4) 0 dfrac (1)(4)-|||-1 0 dfrac (1

设随机变量X,Y满足P(XY=0) =1,并且分布律分别为X -1 0 2 Y 0 1-|||-P dfrac (1)(6) dfrac (1)(3) dfra

设随机变量X与Y的联合分布律为X/Y 1 2 3-|||-1 1/9 2/9 2/9-|||-2 0 dfrac (1)(9) dfrac (2)(9)-|||

1.设随机变量X与Y的联合分布律为-|||-Y-|||-X -1 0 2-|||--1 dfrac (1)(6) dfrac (1)(12) 0-|||-0 d

[例2]设随机变量X与Y相互独立,其概率分布为-|||-x 0 1-|||-P .dfrac (1)(3) .dfrac (2)(3)-|||-Y 0 1-||

3、设 (x,y)=arctan dfrac (x)(y), 则 (1,1)=-|||-(A)1; (B)0; (C) dfrac {1)(2),dfrac

1.设随机变量X与Y的联合分布律为-|||-Y-|||-X-|||--1 0 2-|||--1 dfrac (1)(6) dfrac (1)(12) 0-|||

16.设X与Y相互独立,其分布列分别为-|||-X -2 -1 0 dfrac (1)(2)-|||-p dfrac (1)(4) dfrac (1)(3) d

(5)设 (x,y)=ln (x+dfrac (y)(2x)) ,则 _(y)(1,0)= () .-|||-(A)1 (B) dfrac (1)(2) (C)

设矩阵1 0 0-|||-=dfrac (1)(2) __ 0 2 1-|||-0 3 2，则1 0 0-|||-=dfrac (1)(2) __ 0 2 1-