A New 24-Hour Gas Station Located in a Crowded Intersection $5 \%$

Essay

A new 24-hour gas station located in a crowded intersection in Piscataway, New Jersey, has cars coming in at the rate of 30 per hour. Each of the two attendants can service cars at the rate of 30 per hour. The owner would like to know the probability distribution of the number of cars in the system, so that plans can be launched for adding staff (if necessary) if the system has a $5 \%$ chance of having 5 or more cars. Find Pi for $\mathrm{I}=0,1,2,3 \ldots$ And find the probability of the system having 5 or more cars.