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Trucks are required to check in a weigh station (scale) so that they can be inspected for welght violations. Trucks arrive at the station at
Trucks are required to check in a weigh station (scale) so that they can be inspected for welght violations. Trucks arrive at the station at the rate of 24 an hour in the mornings according to Poisson distribution. Currently two inspectors are on duty during those hours, each of whom can inspect 15 trucks an hour, according to Poisson distribution. Refer to the Table18 4 for Lq values. a. How many trucks would you expect to see at the weigh station, including those being inspected? (Round the final answer to 3 decimal places.) Trucks b. If a truck were just arriving at the station, how many minutes could the driver expect to wait before being inspected? (Do not round intermediate calculations. Round the final answer to 3 decimal places.) Wait time minutes c. How many minutes, on average, would a truck that is not immediately inspected have to wait before being inspected? (Round the final answer to the nearest whole number.) Inspected time: minutes d. What is the probability that both inspectors would be busy at the same time (i.e., the probability that an arrival will have to wait for service)? (Do not round intermediate calculations. Round the final answer to 3 decimal places.) Probability e. What condition would exist if there were only one inspector? ,because =24>=1(15). f. If only 10 trucks fit in the system, what is the probablity that a truck cannot enter the system? (Do not round intermediate calculations. Round the final answer to 4 decimal places.) Probability Table 184 Multiple-server, Exponential service durat ions model values fi Lq and P0, given values for and M (number of servers)
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