A double bay car wash with an exponential arrival rate and service time has cars arriving an average of 5 minutes apart, and an average service time of 4 minutes. The utilization factor of the system is

0.8

Explanation:

The Utilization factor p ;

p = mean service rate (λ) / mean arrival rate (μ)

The mean arrival rate : 5 minutes apart

Mean service rate = 4 minutes

Hence, mean arrival rate λ per hour = 60 / 5 = 12 persons per hour

Mean service rate μ per hour = 60 / 4 = 15

Utilization factor p = (mean arrival rate / mean service rate)

p = 12 / 15

p = 0.8

muslims control the north africa during the period of 1500 up

to 1800. they made a barrier to prevent further european exploration from

entering the africa from the north. however, the dutch ware still able to move

toward the interior with having south africa as one of the routes leading to

the east for trading with asia.