A telemarketer is planning to set up a phone bank to bilk widows with a Ponzi scheme. His past experience (prior to his most recent incarceration) suggests that each phone will be in use half the time. For a given phone at a given time, let 0 indicate that the phone is available and let 1 indicate that a caller is on the line. Suppose that the telemarketer’s “bank” is comprised of four telephones.
(a) Write out the outcomes in the sample space.
(b) What outcomes would make up the event that exactly two phones are being used?
(c) Suppose the telemarketer had k phones. How many outcomes would allow for the possibility that at most one more call could be received?