please solve and show exact steps$3.$ Cypress accounting firm has been hired to perform an audit. The audit has been divided into nine activities. The firm has estimated the optimistic $($a$),$ pessimistic $($b$),$ and most likely $($m$)$ times for each task as shown in the table below.

Task Times $($weeks$)$

Task Predecessors a m b

A None $4610$ I do not think it was squared

B None $235$

C None $125$

D A$,$ B $236$

E A$,$ B$,$ C $4712$

F D$,$ E $124$

G F $247$

H F $3610$

I G$,$ H $124$

a$.$ Construct a network diagram for the project.

b$.$ Compute the expected completion time for the project.

c$.$ Compute the probability that the audit will take more than $26$ weeks to complete.