Question

Pare bot s2 uestion 6 (1 point) A crew of mechanics at the Hamilton Highway Department garage repair vehicles that break down at an average breakdown rate of A-7.7 vehicles per day approximately Poisson in naturel. The mechanic crew can service an average of 19.0 vehicles per day with a repair time distribution that approximates an exponential distribution. What is the average time between two consecutive successful repairs in minutes). That is if repair for one machine ends at 1:00PM and the repair for the next machine ends at 2:30PM, then the time between two repairs will be 90 minutes. But here we want the average time between the end time of two successful repairs in minutes). Assume the centre operate 9 hours per day Note 1. Only round your final answer. Round your final answer to 2 decimal places Your Answer:

Answer 1

Here,

Average Breakdown Rate(λ) = 7.7

The average number of Vehicles Serviced(µ) = 19

Hence,

Average Time between two consecutive service(W) = 1 / (µ - λ) = 1 / (19 -7.7) = 1 / 11.3 = 0.08 Hours = 4.8 Mins