Q2) Taking soil samples and testing the soil properties takes an engineer an average of 35.5 days per project. The duration varies and follows a normal distribution with a standard deviation of 1.9 days. When asked how long it will take the engineer to do the work on the next project, the engineer feels optimistic and says "34 days".

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter2: Origin Of Soil And Grain Size
Section: Chapter Questions
Problem 2.10P: Repeat Problem 2.8 using the following data. 2.8 The following are the results of a sieve and...
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Q2) Taking soil samples and testing the soil properties takes an engineer an average of
35.5 days per project. The duration varies and follows a normal distribution with a
standard deviation of 1.9 days. When asked how long it will take the engineer to
do the work on the next project, the engineer feels optimistic and says "34 days".
1. What is the probability that the work will be completed within this duration?
2. What is the probability that the work will take longer than this duration?
3. What duration should the engineer say to ensure with 95% confidence that
the duration will not be exceeded?
Transcribed Image Text:Q2) Taking soil samples and testing the soil properties takes an engineer an average of 35.5 days per project. The duration varies and follows a normal distribution with a standard deviation of 1.9 days. When asked how long it will take the engineer to do the work on the next project, the engineer feels optimistic and says "34 days". 1. What is the probability that the work will be completed within this duration? 2. What is the probability that the work will take longer than this duration? 3. What duration should the engineer say to ensure with 95% confidence that the duration will not be exceeded?
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