Let X and Y be the values of two stocks at the end of a ﬁve year period. X has uniform distribution in the interval (0, 12), while the value of Y is uniformly distributed on the interval (0, x) when X = x. Find:
a. the density of X given that Y = 35;
b. the density of X given that Y = 3 and the conditional mean of X when Y = 3.
Let us write down the density function p(x,y). We know that x is uniform on [0,12] and that given X=x, Y is uniform on the interval [0,x] so...
This is only a preview of the solution. Please use the purchase button to see the entire solution