$8.$ Task time estimates and activity sequence for the modification of an assembly line at Jim Goodale's Carbondale, Illinois, factory are as follows Time $($in hours$)(5$ Points$).$

Activity Time in hr$.$ Predecessor

A $6$ None

B $7\mathrm{.}2$ None

C $5$ A

D $6$ B$,$ C

E $4\mathrm{.}5$ B$,$ C

F $7\mathrm{.}7$ D

G $4$ E$,$ F

Questions:

a$.$ Draw the network.

b$.$ Identify the Critical Path.

c$.$ What is the expected Project Completion?

d$.$ What are the steps to crash the project in $1$ day?

e$.$ How do you find out the probability that the Project will be on time?