A gas station with only one gas pump employs the following policy: If a customer has to wait, the price is $3.00 per gal
Posted: Wed May 11, 2022 7:05 am
A gas station with only one gas pump employs the following policy: If a customer has to wait, the price is $3.00 per gallon; if she does not have to wait, the price is $3.50 per gallon. Customers arrive according to a Poison process with a mean rate of 20 per hour. Service times at the pump have an exponential distribution with a mean of 2 minutes. Arriving customers always wait until they can eventually buy gasoline. 1. What is the average time in the waiting line? 2. What is the average number of cars in the system? 3. What is the probability that 20 cars will arrive in 1 hour 4. What is the probability that a customer must wait for the pump?