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i Chrome File Edit View History Bookmarks People Window Help 3 Pearson\'s MyLab

ID: 357786 • Letter: I

Question

i Chrome File Edit View History Bookmarks People Window Help 3 Pearson's MyLab & Mastering xDo Homework -Michael Wync x Michae c secure https://www.mathxl.com/Student/PlayerHomewor.. ? ? : AppsDG Google Koolatron 2.56 cu.f... MySynchrony Cons... PROD. AND OPERATIONS MGMT.-SPRING 2018 - MGMT 328.002 Homework: Homework #3 Score: 0 of 6 pts Problem D.19 Save 13 of 13 (12 complete) HW Score: 77.596, 31 E Question Help One mechanic services 6 drilling machines for a steel plate manufacturer. Machines break down on arn average of once every 8 working days, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of three repair jobs per day. Repairs follow a negative exponential distribution. a) On the average, how many machines are waiting for service? The average number of machines waiting for service is - (Round your response to three decimal places.) Enter your answer in the answer box and then click Check Answer Clear All Final Check remaining

Explanation / Answer

Given are following data :

Machine breakdown rate = a = 1 per day

Machine servicing rate = s =3 per day

On average, number o machines waiting for service under such scenario

= a^2/ S x ( S – a )

= 1 / 3 x ( 3 -1)

= 1/6

ON AVERAGE 1/6 TH MACHINES ARE WIAITNG FOR SERVICE