What is the probability that the project will take less than 42 weeks ? (Show work/ explain reasoning to receive full credit.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Glen Halford has laid out the major steps in the engine assembly process for an experimental automobile.

the expected completion time(t) and the variance (v) of each activity is shown as follows:

t=a+ 4m+b/ , v=(b-a/6)2

Activity

                      t                    v

A                     6            2.25

B                    10           2.25

C       18         2.25

D                    12          7.11

the critical path: B-C-D =10+18+12=40 weeks

the expected variance: 2.25+2.25+7.11=11.61

Question:

What is the probability that the project will take less than 42 weeks ? (Show work/ explain reasoning to receive full credit.)

           

 

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