Customers arrive at Zara store between the hours of 7 P.M. and 8 P.M. according to...

 

Transcribed Image Text:

Customers arrive at Zara store between the hours of 7 P.M. and 8 P.M. according to a Poisson distribution at a mean rate of 45 per hour. During the period from 7 P.M. and 8 P.M. the store has three salesclerks working. The average time a salesclerk spends with a customer is 3 minutes, and service time follows an exponential distribution. The mall security does not allow customers to line up outside of the store; therefore, the maximum capacity is ten people. Queuing System: 2= What is the average time a customer will spend waiting in line to checkout? What is the probability that an arriving customer will have to wait in line? What is the average number of customers at the store? What is the probability that the store loss a customer? Customers arrive at Zara store between the hours of 7 P.M. and 8 P.M. according to a Poisson distribution at a mean rate of 45 per hour. During the period from 7 P.M. and 8 P.M. the store has three salesclerks working. The average time a salesclerk spends with a customer is 3 minutes, and service time follows an exponential distribution. The mall security does not allow customers to line up outside of the store; therefore, the maximum capacity is ten people. Queuing System: 2= What is the average time a customer will spend waiting in line to checkout? What is the probability that an arriving customer will have to wait in line? What is the average number of customers at the store? What is the probability that the store loss a customer?