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The Rockwell Electronics Corporation retains a service crew to repair machine breakdowns that occur on the average of =3 per day (approximately Poisson in nature).
The crew can service an average of µ=8 machines per day, with a repair time distribution that resembles the exponential distribution.
(a) What is the utilization rate of this service system?
(b) What is the average downtime for a machine that is broken?
(c) How many machines are waiting to be serviced at any given time?
(d) What is the probability that more than one machine is in the system? Probability that more than two are broken and waiting to be repaired or serviced? More than four?
Calculate the probability of drawing a King or a diamond
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an existing rectangular corral such that the total area of the new corral is 1.5 times that of the original corral. the current corral's dimensions are 250 feet by 160 feet. The rancher wants to increase each dimension by the same amount.
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a bridge is built in the shape of a semielliptical arch. it has a span of 104. the height of the arch 25 feet from the center is 12 feet. find the height of the arch at its center.
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