Let X have the uniform distribution (0,2) and let the conditional distribution of Y given X=x be uniform on (0,x^2).
a) Find the condition expectation and variance of Y given X=x. USe these to find the marginal expectation and variance of Y...
Ive got it all upto the Variance of Y.. Ive got an example thats with numbers, but i cant seem to figure out what to do, and its especially confusing because of it being a uniform distribution.. Any ideas?
And i just need to do the Var(Y) now..
To save the wheel getting re-invented, if you give all your answers (with working would be ideal) it will be easier to show how to get the variance.
Originally Posted by brd_7
Sorry, i did write down the answers, but realised they were wrong, made a careless mistake. Anyway.. I got the following..
With just Var(Y) to work out..