a$)$ Calculate the expected time and variance for each activity.

b$)$ Use expected time of each activity from part a and determine ES$,$ EF$,$ LS$,$ LF$,$ and slack for each

activity.

c$)$ Determine the total project completion time and the critical path for the project.

d$)$ Compute the total project variance and project standard deviation.

e$)$ What is the probability that the project will be finished in $48$ days or less?

f$)$ Find the probability that the project will take more than $41$ days to complete.

g$)$ What is the probability that the project due date is between $47$ and $50$ days?

h$)$ What is the due date that yield a $80\%$ chance of completion?

i$)$ If activities H was not necessary, what impact would this have on the critical path and the number

of weeks needed to complete the project? Explain your answer.