A consultant has six appointment times that are open, three on Monday and three on Tuesday. Suppose

Question:

A consultant has six appointment times that are open, three on Monday and three on Tuesday. Suppose that when making an appointment a client randomly chooses one of the remaining open times, with each of those open times equally likely to be chosen. Let the random variable X be the total number of appointments that have already been made over both days at the moment when Monday's schedule has just been completely filled.
(a) What is the state space of the random variable X?
(b) Calculate the probability mass function and the cumulative function of X.
(This problem is continued in Problems 2.3.16 and 2.4.12.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...