Given the project activity table below:

Activity Duration

$($weeks$)$ Dependency

A $8$

B $4$

C $3$

D $3$ A

E $1$ C

F $7$ C

G $5$ D

H $6$ B$,$D$,$E

I $6$ E$,$F

J $6$ H

K $5$ G$,$I,J

a$)$ Draw a project network from the table above $(12$ marks$)$

b$)$

i$.$ What activity$($s$)$ is a burst activity? $(1$ mark$)$

ii$.$ What activity$($s$)$ is a merge activity? $(1$ mark$)$

iii. What is the length of the project? $(1$ mark$)$

iv$.$ What is the critical path? $(1$ mark$)$

c$)$ Draw the Gantt chart $(9$ marks$)$

d$)$ Build the project network using expected activity times based on the new table below $(8$ marks$)$

e$)$ What would be the expected length of the project? $(1$ mark$)$

f$)$ What would be the project standard deviation? $(2$ marks$)?$