draw and Compute the expected time for each activity and the expected duration for each path:

The expected time $($TE$)$ for each activity is calculated using the following formula:

TE $=($a $+4$m $+$ b$)/6$

Where:

a $=$ Optimistic time

m $=$ Most likely time

b $=$ Pessimistic time

The expected duration for each path is the sum of the expected times for the activities along that path.

Activity Expected Time $($TE$)$

A: TE $=(3+4(6)+8)/6=6$ weeks

B: TE $=(2+4(4)+4)/6=4$ weeks

C: TE $=(1+4(2)+3)/6=2$ weeks

D: TE $=(6+4(7)+8)/6=7$ weeks

E: TE $=(2+4(4)+6)/6=4$ weeks

F: TE $=(6+4(10)+24)/6=12$ weeks

G: TE $=(1+4(2)+4)/6=2\mathrm{.}33$ weeks

H: TE $=(3+4(6)+9)/6=6$ weeks

I: TE $=(10+4(11)+12)/6=11$ weeks

J: TE $=(14+4(16)+20)/6=16\mathrm{.}67$ weeks

K: TE $=(2+4(8)+10)/6=7\mathrm{.}33$ weeks

Possible paths and their expected durations:

Path $1$:

weeks

Path $2$:

weeks

Path $3$:

weeks

Path $4$:

weeks