The switchboard operator in a large law office receives calls at a rate of 100 per...
The switchboard operator in a large law office receives calls at a rate of 100 per hour according to a Poisson distribution. The average time
required to process a call is 30 seconds, exponentially distributed. Assuming that the single-server waiting line model applies, answer the following questions.
A. What percentage of the time is the operator busy?
B. What is the average time required until the operator answers a call?
C. What is the average number of calls waiting to be answered?
D. What is the probability that three or more calls are in the system?
E. What is the probability that three or more calls are in the queue?
F. Assume that the switch board operator is replaced by a junior person with limited experience. This person requires 40 seconds to process a cal l, also exponentially distributed. What happens now
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