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

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.

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a The state space is 3 4 5 6 b PX 3 PMMM 36 25 14 120 PX 4 PMMTM PM... View full answer

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