a) Students returning to a secondary school have to pass through a check point at the rate of 50 per though. The average time fo
r checking is 35 seconds. The arrival rate and service rate follow a Poisson distribution. There is a delay and the principal is willing to include another check point to reduce the average time of checking to 28 seconds if the idle time is less than 10% and the average queue length is more than 10 students, check whether the introduction of an extra check point is justifiable
The depth of Point A: 800 ft. The depth of the Point B : 160 ft. The distance from the point A to point B: 800 - 160 = 640 ft. The fraction is: 640 / 800 = 4/5