A、<img width="21" height="37" src="https://static.tiw.cn//s/tiw/p3/UpLoadImage/2013-05-07/72630f6f-067f-4631-b596-928a2e73a264.png">
B、1
C、<img width="20" height="36" src="https://static.tiw.cn//s/tiw/p3/UpLoadImage/2013-05-07/844672f5-fe05-4845-b63c-88e4a163ada4.png">
D、<img width="17" height="37" src="https://static.tiw.cn//s/tiw/p3/UpLoadImage/2013-05-07/48a79b03-daf8-491f-9f8b-4c5c1ffcf2f9.png">
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正确答案
试题解析
X与Y独立,E(XY)=E(X)E(Y)。又X在[a,b]上服从均匀分布,
![](/s/tiw/p3/UpLoadImage/2013-05-07/2ce0a017-c5d2-4bbf-a785-c88d10fcdfed.png)
即有E(X)=1。当Y服从参数为λ的指数分布时,
![](/s/tiw/p3/UpLoadImage/2013-05-07/a2148ee9-8248-470f-90f9-1a508d600eb8.jpg)
。即有
![](/s/tiw/p3/UpLoadImage/2013-05-07/7919d3dd-0f90-4db1-96db-8360e2fe01cb.jpg)
,故
![](/s/tiw/p3/UpLoadImage/2013-05-07/d01e09c7-4325-4443-bed2-ef128dcda793.jpg)
。