Gas Station:-
Consider the situation of Mr. R. B. Cheney, who owns a large gas station on a highway in Vermont. [n the afternoon hours, there are, on average, 1 ,000 cars per hour passing by the gas station, of which 2 percent would be willing to slop for refueling. However, since there are several other gas stations with similar prices on the highway, potential customers are not willing to wait and bypass Cheneys gas station.
The gas station has six spots that can be used for fil ling up vehicles and it takes a car, on average, five minutes to free up the spot again (includes fil ling up and any potential delay caused by the customer going inside the gas station).
a. What is the probability that all six spots are taken?
b. How many customers arc served every hour?