In a situation similar to one you may have seen before, there is a clinic with two physicians, Dr. X and Dr. Y, and each doctor can be scheduled to see at most 3 patients per hour. The joint probability mass function is given by the following table. Assume we allow X and Y represent the random variables associated with the number of patients seen in a given hour by Drs. X and Y, respectively.
a.) What are mX and sX?
b.) What are mY and sY?
c.) What is E(XY)
d.) What is Cov(X,Y)?
e.) What is rX,Y?
f.) What does this value for rX,Y tell us about the relationship between the number of patients seen by the two doctors?
Explain your answers including formulas