Problem Problem:

$1$

Given the following network and activity time estimates, determine earliest and latest activity times, slack, the expected project completion time and variance, and the probability that the project will be completed in

$2$

$8$

days or less.

$\backslash$

table

$[$

$[$

$,$

Time Estimates

$($

Days

$)$

$]$

$,$

$[$

Activity

$,$

a

$,$

m

$,$

b

$]$

$,$

$[$

$1$

$,$

$5$

$,$

$8$

$,$

$1$

$7$

$]$

$,$

$[$

$2$

$,$

$7$

$,$

$1$

$0$

$,$

$1$

$3$

$]$

$,$

$[$

$3$

$,$

$3$

$,$

$5$

$,$

$7$

$]$

$,$

$[$

$4$

$,$

$1$

$,$

$3$

$,$

$5$

$]$

$,$

$[$

$5$

$,$

$4$

$,$

$6$

$,$

$8$

$]$

$,$

$[$

$6$

$,$

$3$

$,$

$3$

$,$

$3$

$]$

$,$

$[$

$7$

$,$

$3$

$,$

$4$

$,$

$5$

$]$

$]$

IRmAReglem determine the expected time and variance for each activity and indicate the critical path:

$\backslash$

table

$[$

$[$

$,$

Time Estimates

$($

weeks

$)$

$]$

$,$

$[$

Activity

$,$

a

$,$

$,$