设X ~ N ( 3 , 2 ),Y ~ U ( 2 , 8 ),且X与Y相互独立,则D(2X – Y) =( ).
A: 1
B: 5
C: 7
D: 11
A: 1
B: 5
C: 7
D: 11
举一反三
- 中国大学MOOC: 设X~N( 3, 2),Y~U( 2, 8),且X与Y相互独立,则D(2X–Y) =().
- 设X~N(1, 2), Y~N(-1, 3),且X与Y相互独立,则2X-Y~( ) A: N(3, 8) B: N(3, 5) C: N(3, 11) D: N(3,25)
- 设 X ~ N(3, 12),Y ~ N(2, 4),且 X,Y 独立,则 X − Y ~ N(1, 8) .
- 设X ~ N ( 0 , 1 ),Y ~ N ( 0 , 1 ),且X与Y相互独立,则D(X – Y) = ( ). A: 1 B: 2 C: 3 D: 4
- 设\(z = u{e^v}\),\(u = {x^2} + {y^2}\),\(v = xy\),则\( { { \partial z} \over {\partial x}}=\) A: \({e^{xy}}({x^2}y + {y^3} + 2x)\) B: \({e^{xy}}({x}y^2 + {y^3} + 2x)\) C: \({e^{xy}}({x}y + {y^3} + 2x)\) D: \({e^{xy}}({x^2}y + {y^2} + 2x)\)