The mechanical pony ride machine at the entrance to the City Star Mall provides 2 minutes of riding for OMR 0.250. Children wanting to ride the pony arrive according to a Poisson distribution with a mean rate of 15 per hour. What fraction of the time is the pony idle? What is the average number of children waiting to ride the pony?
Added by Al J.
Step 1
First, we need to find the utilization rate of the pony ride machine. Utilization rate is the fraction of time the machine is in use. To find this, we need to know the arrival rate (λ) and the service rate (μ). Show more…
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