Over the course of an 8-hour day, 96 vehicles enter a local electronics stores parking lot. The parking lot has 5 spaces and the average customer stays in the grocery store for 15 minutes. Calculate the probability that an incoming car will be rejected.
[Solution Shown Below]
First, we need to calculate the incoming flow rate. This is done as follows:
Q = 96 vehicles/ 8 hours
Since we know the average vehicle is parked for 15 minutes, or 0.25 hours, we can
calculate the traffic load as follows.
P = (AM/M!)/(1 + A + A2/2 + . . . + AM/M!)
P = (35/120)/(1 + 3 + 32/2 + 33/6 + 34/24
Each entering vehicle has an 11% chance of being rejected. As a result, the electronics store loses one out of each 10 customers entering their lot.