In A small project involves $7$ activities and their time estimates are listed in the following $14$

table:

DURATION $($Weeks$)$

Ls Setivity $($I$-$f$)$ Optimistie Most Ukely Peselmistle

$7$

$1-2$

$4$

$1-3$

$1-4$

$2$

$2$

$2-5$

$1$

$1$

$1$

$8$

$3-5$

$2$

$5$

$14$

$1$

$4-6$

$2$

$5$

$8$

$5-6$

$3$

$6$

$15$

Draw the network diagram of the activities in the project.

Find the expected duration and variance for each activity. What is the expected project length $?$

What is the probability that the project will be completed: at least $3$ weeks earlier than expected time? No more than $3$ weeks later than expected time $?$

$($y if the project due date is $19$ weeks, what is the probability of not meeting the due date?

Given;

$2$: $050$

$0-67$

$1-00$

Prob.: $0-3085$

$0-25140-1587$

$1-33$

$2-00$

$0-09180-0228$