t**********e
发帖数: 13 | 1 怎么也对不上答案， 觉得答案错了，大家帮看看。 感谢
如果 x,y,z are independent uniform[0,1],
P(X/Y)=? P(XY)=? P(XY/Z)=?
answer:
P(X/Y<=t)=(1/2)*t if t>1
= 1/2+(1-t) if t<=1
P(XY<=t)=t-t*logt
P(XY/Z)=1-t/4 if t<=1
=t-1/4t+(1/2t)*logt if t>1 | A****s
发帖数: 129 | 2 at least the 1st is wrong.
since if t>2 -> p>1...
I guess it should be 1/2t if t>1, t/2 if t<1
However, you could simply depict 2 or 3-dimension diagram and use definite
integral
【在 t**********e 的大作中提到】
: 怎么也对不上答案， 觉得答案错了，大家帮看看。 感谢
: 如果 x,y,z are independent uniform[0,1],
: P(X/Y)=? P(XY)=? P(XY/Z)=?
: answer:
: P(X/Y<=t)=(1/2)*t if t>1
: = 1/2+(1-t) if t<=1
: P(XY<=t)=t-t*logt
: P(XY/Z)=1-t/4 if t<=1
: =t-1/4t+(1/2t)*logt if t>1
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