In a waiting line model situation, arrivals occur around the clock at a rate of six per day, and the service occurs at one very three hours. Assume the Poisson and exponential distributions.

a. What is Mean Arrival Rate λ ?

b. What is Mean Service Rate μ?

c. Find probability of no units in the system.

d. Find average number of units in the system.

e. Find average time in the waiting line.

f. Find average time in the system.

g. Find the probability that there is one person waiting.

h. Find the probability that an arrival will have to wait.

a. What is Mean Arrival Rate λ ?

b. What is Mean Service Rate μ?

c. Find probability of no units in the system.

d. Find average number of units in the system.

e. Find average time in the waiting line.

f. Find average time in the system.

g. Find the probability that there is one person waiting.

h. Find the probability that an arrival will have to wait.

## This question was asked on May 02, 2010.

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