Find:

$1.$ The AOA network and the path with the longest expected duration.

$2.$ All event slacks.

$3.$ Critical path to event D$.$

$4.$ The probability of completing the path with the longest expected duration in $14$ days.

$5.$ The effect if CD slips to $6$ days; to $7$ days; to $8$ days.

Activity TE

AB $1$

AC $2$

AD $3$

DC $4$

CB $3$

DE $8$

CF $2$

BF $4$

IJ $2$

CE $6$

EF $5$

FG $10$

FH $11$

EH $1$

GH $9$

EJ $3$

GI $8$

HJ $6$

a$.$ Draw the AOA diagram.

b$.$ Find the critical path.

c$.$ Find the expected project completion time.