Consider the same stick-breaking problem as in the previous clip, and let l=1. Recall that fX,Y(x,y)=1/x when 0<=y<=x<=1.

a) Conditioned on Y=2/3, the conditional pdf of X is nonzero then a<=x<=b. Find a and b.
b)On the range found in part (a), the conditional PDF fX,Y(x|2/3) is of the form cx^d for some constants c and d. Find d.

2 answers

a = 2/3
b = 1
c = -1