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Soltan Security is a security company that retains a service crew to repair its vehicles. The...

Soltan Security is a security company that retains a service crew to repair its vehicles. The vehicle breakdowns occur at a rate of 3 per day, and follow a Poisson process. The crew can service an average of 8 vehicles per day, with a repair time distribution that resembles the exponential distribution.

a) What is the utilization rate of the service system?

b) What is the average downtime for a vehicle that is broken down?

c)How many vehicles are waiting to be repaired at any given time?

d) What is the probability that more than one machine is in the system?

e) What is the probability that more than two are broken and waiting to be repaired or being serviced?

f) What is the probability that more than four are broken and waiting to be repaired or being serviced?

Math   Statistics-And-Probability   
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