Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquir

Question

4 years ago

5

Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquir

y varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. What is the utilization factor? a. 20% b. 30% c. 40% d. 50% e. 60%

Mathematics

1 answer:

Nikolay [14] · Answer 1 · 2022-01-11T17:18:59+03:00

Answer:

option e is correct

utilization factor is 60 %

Step-by-step explanation:

given data

arrival rate = 12 students per hour

average service rate = 20 students per hour

to find out

utilization factor

solution

we know that utilization factor is percentage of time server that is

time serve is = arrival rate / average service rate

so

utilization factor is = 12 / 20

so utilization factor is 60 %

option e is correct