The random variables and have joint probability distribution specified by the following table:
=0
=1
=2
=0
=1
Please provide all answers to the following to three decimal places.
(a) Find the expectation of .
(b) Find the covariance Cov() between and .
(c) What is the correlation between and ?
(d) Suppose the random variables and above are connected to random variables and by the relations
What is the covariance Cov()?
(e) What is the correlation between and ?
You can earn partial credit on this problem.