a$.$ Calculate the expected durations and the variance $($or standard deviation$)$ for each activity.

b$.$ Applying PERT, find the expected project completion time and the project standard deviation?

c$.$ What is the probability $($likelihood$)$ that the project will be completed $($so that the company may introduce the new product$)$ within $32$ weeks?

d$.$ If you wanted to be $99\%$ confident of completing the project on time, what would be its completion time target?