The customer support hotline for Bitway Computers is currently staffed by a single technician. Calls arrive randomly at a rate of five per hour and follow a Poisson distribution. The technician can service calls at an average rate of seven per hour, but the actual time required to handle a call is an exponential random variable. The president of Bitway has received numerous complaints from customers about the length of time they must wait "on hold" for service when calling the hotline. Find the following
Find the probability that the technician is servicing a call
The average number of callers put on hold.
Find the average time that a customer must wait before receiving service from the technician
Find the total time a caller spends waiting for service and being served under Bitway ‘s current hotline configuration.