There is one 1$ bill and one 5$ bill in your left pocket and the same in your right pocket. you move one bill from the left pocket to the right pocket. after that you take the remaining bill from the left pocket and one of the bills at random from the right pocket. let denote the amount of money that you take from the left pocket and denote the amount of money that you take from the right pocket. answer the following questions.
(a) calculate the joint pmf of and and the marginal pmf( probability mass function)-s
(b) are and independent?
(c) find ) and )
(d) find + )
(e) let be the total amount of money that you take from your pockets. find the pmf of its mean and variance
(f) find and