A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffiffiffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation σ = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.
A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffiffiffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation σ = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 35P
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Question
A certain city the Transportation Authority (CTA) has trollies leaving
regularly throughout the day beginning at 5:00 a.m. Although the
length of a trip and the number of stops are constant, the time taken for
each trip varies due to weather, traffiffiffic, and time of the day. According
to the CTA, the mean time taken for the trip is 50 minutes. Suppose
the travel time is Normally distributed with standard deviation σ = 4
minutes. A random sample of 25 trips is obtained, and the time for
each is recorded.
Find the probability that the sample mean time will be less than 48
minutes.
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