Discussion:
Let X and Y are random variables.
Q1: What are the marginal pdfs of (x+y) (where 0
Q2: What is the expectation, covariance, correlation and and covariance coefficient?
Q3: What are the joint and marginal pdfs and cdfs?
(ii) Also,differently - if Fx|y(x|y) is constant over the 0 to 1. What is Fy|x(y|x)? (is there enough information to determine this?)
(iii) X and Y are random variables
Z=XY (x and y: X^2+y^2<=1)
What is the cdf, pdf, expectation, and variance?
Explain the relationship between Fx|y(x|y) and Fy|x(y|x) in ii and how to find the cdf, pdf, etc of Z when Z is a product function of two random variables.