A project has the following information $($FS dependencies$).$

What is the duration of the critical path? $(5$ marks$)($Hint: you do not need to do a forward and backward pass$)$

What is the probability of completing the project between $13$ and $21$ time periods? $(15$ Marks$).$ Show your calculations.

Optimistic Most Likely Pessimistic

Activity Time Time Time Predecessors

A $135$

B $234$ A

C $123$ A

D $135$ B

E $147$ B

F $123$ C

G $147$ E$,$F

H $234$ D

I $123$ G$,$H