Answer: (a ) 4 per hour (b ) 4.5 minutes (c ) 3 minutes
Step-by-step explanation:
Average time between customer arrival = 15 minutes
Average service time = 10 minutes
(a) To calculate the customer arrival rate
Arrival rate = 1 / time between Arrival
= 1 / 15
= 0.066 × 60
= 4 per hour
(b) To calculate the average number of customers in queue
( Arrival time )^2 / service time ( service time - Arrival time)
= (15)^2 / 10 ( 10 - 15)
= 225 / 10 (-5)
= 225 / 50
= 4.5 minutes
(c) To calculate the average time customers spend in the system
Arrival time / service time - Arrival time
= 15 / 10 - 15
= 15/ -5
= 3 minutes