Question

Eat & Gas convenience store operates a three-pump gas station. The line leading to the gas pumps can house at most 3 cars, excluding those being serviced. Arriving cars go elsewhere if the lane is full. The distribution of arriving cars is Poisson with mean 25 per hour. The time to fill up and pay for the purchase is exponential with mean 6 minutes. Determine the following: (a) Percentage of cars that will seek business elsewhere. (b) Percentage of time that a pump is in use. (c) Average number of idle pumps.

Answer 1

Due to insufficient time, i will not answer (c) .

please separate question , i will answer it .

thank you!