Question: Looking at only the critical path, find the probability that the store will take 26 or more working days to open. Activity Optimistic Most likely

Looking at only the critical path, find the probability that the store will take 26 or more working days to open.

Activity Optimistic Most likely Pessimistic Expected Variance
A 2 2.5 6 (2+2.5+6)/3 = 3.5 0.444
C 2 3 10 (2+3+10)/3 = 5 1.777
E 1 4 7 (1+4+7)/3 = 4 1
F 3 11 13 (3+11+13)/3 = 9 2.777
H 1 3 5 (1+3+5)/3 = 3 0.444

Variance of Critical path = 0.444 + 1.777 + 1 + 2.777 + 0.444 = 6.444

Variance of the project = Squ. Rt. of 6.444 = 2.54

(24-23)/2.54 = 0.39

e) What is the probability of completing path ACEFH in time for the store to open in 24 working days or less?

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