standard deviation question

ou have been recently assigned to provide an accurate project


schedule for a large construction company.


Your lead engineer has given you the following estimates for several


critical path activities. Your stakeholders want you to commit to a


completion date for these critical path activities. Which of the following


statements are true?


 


 








































Activity


OPT


PESSI


M.LIKELY


EXPT VAL


STD DEV


SD SQUIRED


TASK A


5


18


10


10.5


2.17


4.69


TASK B


28


61


40


41.5


5.50


30.25


TASK C


10


33


18


19.17


3.83


14.69


TOTAL


71.17


49.64


 


 


A. There is approx. 68 percent chance that the project will complete


between 64 days and 78 days.


B. There is approx. 95 percent chance that the project will complete


between 64 days and 78 days.


C. There is approx. 68 percent chance that the project will complete


between 57 days and 85 days.


D. There is approx. 99 percent chance that the project will complete


between 64 days and 78 days.


 


 


Answer: A


 


Please explain why/how the answer is "A"