A diagnostic test in a hospital lab you are simulating must be completed within

Question

A diagnostic test in a hospital lab you are simulating must be completed within 2 hours of when you receive the request, otherwise the test has to be sent to another lab for testing at a significant cost. Tests are done in a lab with a single technician, and patients are served in FIFO order. Interarrival times are exponential(10) and service times are exponential(12) in hours. 19. Find the fraction of time the technician is idle _____ 20. Find the fraction of the patients spend more than 2 hours in the system _____ 21. Upon further review, you discover that the technician service times have rate 12/hour with a standard deviation of 1/10 hour. Find the average time in the system _____

Explanation / Answer

T = 1/10, U = 1/12

1) 1- U/T

= 1 - 10/12

= 1/6

2) p(X>2)

= T* e(-T*x) - U*e(-u*x)

= 0.0818 - 0.0705

= 0.0113

3) 1/(U-T)

= 1/ (1/12-1/10)

= 1/30 (waiting time in system)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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