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After collecting some data, the following estimates of the probability distributions were made.
Probability Distributions for Merchants
Interarrival Times Exponential distribution, with a mean of 6 minutes.
Service Times Uniform distribution, with a range from 1 to 3 minutes.
Probability Distributions for Other Customers
Interarrival Times Translated exponential distribution, with a minimum of 0.5 minutes and a mean of 1.5 minutes.
Service Times Erlang distribution, with a mean of 1.5 minutes and a shape parameter of .