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3, During the campus Spring Fling, the bumper car amusement attraction has a problem with cars becoming disabled and in need of repair. Repair personnel

3, During the campus Spring Fling, the bumper car amusement attraction has a problem with cars becoming disabled and in need of repair. Repair personnel can be hired at the rate of $22 per hour. One repairer can fix cars in an average time of 25 minutes. While a car is out of service either disabled and waiting to be repaired or being repaired, lost income is $42 per hour. Cars tend to break down at the rate of two per hour. Assume that there is only one repair person, the arrival rate follows a Poisson distribution and the service time follows an exponential distribution.

c) When a bumper car becomes disabled, what is the probability that it will find that there is at least one other bumper car already waiting to be repaired?

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