$2.$ Draw an Activity$-$on$-$Node Diagram for the following:

Activity Name

Predecessor$($s$)$

A

None

None

C

A

A$,$ B

E

$$D

F

C

G

F$,$E

G

$3.$ Using the PERT $($Program Evaluation Review Technique$)$ estimating method, calculate the expected time $($TE$)$ for each of the following activities.

Activity

Optimistic $($days$)$

Pessimistic $($days$)$

Most Likely $($days$)$

Activity A

$2$

$12$

$4$

Activity B

$5$

$25$

$20$

Activity C

$10$

$50$

$18$

Activity D

$3$

$10$

$7$