At a one man barber shop, customers arrive according to poison distribution with a mean arrival rate of 5 per hour and hair cutting time was exponentially distributed with an average hair cutting time...

At a one man barber shop, customers arrive according to poison distribution with a mean arrival rate of 5 per hour and hair cutting time was exponentially distributed with an average hair cutting time was exponentially distributed with an average haircut taking 19 minutes. It is assumed that because of excellent reputation, customerswere always willing to wait. Calculate the following

a. Average number of customers in the shop and average numbers waiting for a hair

cut

b .Percentage of time arrival can walk in right without having to wait

c. The percentage of customers who have to wait before getting into the barber’s chair