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stats 125..
1. Let X~U[0,1], and A be the event that X<1/3
(a) Give the c.d.f of X
(b) Find P(X<=x|A)
(c) Find E[X|A]
3. Given a collection of independent random variables Ui ~ U[0,1], i= 1,2,.......
(a) how can you obtain a random variable X with c.d.f given by FX(x) = x/2 for x belongs to [0,2]?
(b) how can you obtain a collection of independent random variables Xi, each with c.d.f. given by F(x)=x/1+x, for x>=0?
6. Let U~U[0,1]. For x,y belongs [0,1], find P(X<=x, Y<=y) when
(a) X=Y=U
(b) X=U and Y=1-U
I hav no idea how to do these ... could u give me sum help plz... |
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