Answer:
Step-by-step explanation:
We have two random variables X and Y. and given that X=x, Y has uniform distribution (0,x)
From the definition of the uniform distribution we have the densities for each random variable given by:
And on this case we can find the joint density with the following formula:
And multiplying the densities we got this:
Now with the joint density we can find the expected value E(Y|x) with the following formula:
And replacing we got:
