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SHOW ALL WORK! In a waiting line situation, arrivals occur at a rate of 2 per...

SHOW ALL WORK!

In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 24 seconds. Assume the Poisson and exponential distributions.

a. What is λ?   What is μ?
b. Find average number of units in the system.
c. Find average time in the waiting line.
d. Find probability that there is one person waiting.
e. Find probability an arrival will have to wait.
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Answer #1

The solution of the first four part of the question is below:Solution W. since, arrivals occur at a rate of 2 per minnt. so, da 2 per minute. Again, since the service times average 24 seso by knowing the value of lambda and mu,we can find average no of units, average time, probability of no man waiting, probability of one man waiting etc.

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