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Question 3: A postal letter carrier has a route consisting of five segments with

ID: 3380472 • Letter: Q

Question

Question 3: A postal letter carrier has a route consisting of five segments with the time in minutes to complete each segment being normally distributed with means and variances as shown: SegmentA N(38,16) SegmentB N99,29) SegmentC N(85,25) Segment D N(73,20) SegmentE N52,12) In addition to the times mentioned, the letter carrier must organize the mail at the central office, which activity requires a time that is distributed by N(90,25). The drive to the starting point of the route requires a time that is distributed by N(10,4). The return from the route requires a time that is distributed by N(15,4). The letter carrier then performs administrative tasks with a time that is distributed by N(30,9) a) b) What is the expected length of the letter carrier's work day? Overtime occurs after eight hours of work on a given day. What is the probability that the letter carrier works overtime on any given day?

Explanation / Answer

Question 3: A postal letter carrier has a route consisting of five segments with

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