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(Solved): 5. In a waiting line situation, arrivals occur around the clock at a rate of six per day, and the s ...



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5. In a waiting line situation, arrivals occur around the clock at a rate of six per day, and the service occurs at one every three hours. Assume the Poisson and exponential distributions. a. What are \\( \\mu \\) and \\( \\lambda \\) ? b. Find probability of no units in the system. c. Find average number of units in the system. d. Find average time in the waiting line. e. Find probability that there is one person waiting.


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Solution.) From the given data,

a)

The mean number of arrivals per day   (per day)
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