Answer:
The estimated expected (mean) time for project completion is 440 hours.
Explanation:
The given breakdown structure is
Activity Precedes Optimistic Most Likely Pessimistic
A D 38 50 62
B E 90 99 108
C End 85 100 115
D F 19 25 31
E End 91 100 115
F End 62 65 68
Using the table we get
[tex]\sum t_0=38+90+85+19+91+62=385[/tex]
[tex]\sum t_m=50+99+100+25+100+65=439[/tex]
[tex]\sum t_p=62+108+115+31+115+68=499[/tex]
The formula for estimated expected (mean) time for project completion is
[tex]t=\frac{\sum t_0+4\cdot \sum t_m+\sum t_p}{6}[/tex]
[tex]t=\frac{385+4\cdot 439+499}{6}[/tex]
[tex]t=440[/tex]
Therefore the estimated expected (mean) time for project completion is 440 hours.