There is only one copying machine in the student lounge of the business school.

Question

There is only one copying machine in the student lounge of the business school. Students arrive at the rate of per hour according toa Poisson distribution, copying takes an average o negative exponential distribution). 3. 50 seconds, or s per hour according to a a) The percentage of time the machine is used number) percent (round your response to the nearest whole students (round your response to two decimal places) b) The average length of the queue = c) The average number of students in the system = d) The average time spent waiting in the queue- e) The average time in the system students (round your response to two decimal places). minutes (round your response to two decimal places) minutes (round your response to two decimal places)

Explanation / Answer

Given are following data :

Arrival data = a = 50 per hour

Service rate = S = 90 per hour

= Average length of the queue + a/s

= 0.69 + 50 / 90

= 0.69 + 0.55

= 1.24

= a/ S x ( S – a ) hour

= 50 / 90 x ( 90 – 50 ) hour

= 50 / ( 90 x 40)hour

= 50 / 3600 hour

= 50 x 60/3600 minutes

= 0.83 minutes

= Average time spent waiting in the queue + 1/ s

= 50 / 3600 +1/ 90hour

= 50 / 3600 + 40/3600

= 90/3600 hour

= 90 x 60/3600 minutes

= 1.5 minutes

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.