Practice Question $1$

A Project has the precedence relationships and

optimistic, most likely, and pessimistic activity

times provided in weeks

quad Calculate the expected time $($t$\_($e$))$ for each

activity

quad Calculate the variance, sigma$^2,$ for each

activity

Work breakdown structure $($WBS$)$

a$.$ Identify activities $/$ inputs

b$.$ Organize activities into a work

breakdown structure

c$.$ Determine precedents for activities

d$.$ Estimate duration of each activity

Mean of activity time $($ t$\_($e$)$

Variance of activity time $($ sigma$^)$

Developing the project schedule

a$.$ Create a precedence diagram

b$.$ Calculations

Forward pass: Earliest start $($ES$)$ and earliest

finish $($EF$)$

Backward pass: Latest start $($LS$)$ and latest

finish $($LF$)$

quad Slack and Critical path

For each path calculate probability not late:

a$.$ Sum of mean activity time TE$($TE$\_($E$))$

b$.$ Sum of variance of activity time $($ sigma$\_($p$))$

c$.$ z value

d$.$ Probability of not being late

START

FINISH