a.Calculate the expected time, variance, and standard deviations for each of the activities

b.Calculate each path's expected time, path variance, and standard deviations. What is the critical path?

c.Estimate the probability of finishing the project in 28 days or less.

d.You learn you can receive a significant bonus if the project finishes on day 25. What is the probability of this occurring?

e.To provide your top managers with at least a 95% assurance of finishing on time, how long should the project's duration be?

\begin{tabular}{c|c|c|c|c} Activity & Immediate Predecessor & Optimistic Time Estimate (a) & Most Likely Time Estimate (m) & Pessimistic Time Estimate (b) \\ \hline A & none & 3 & 5 & 8 \\ \hline B & A & 4 & 6 & 9 \\ \hline C & A & 1 & 3 & 6 \\ \hline D & B & 2 & 4 & 7 \\ \hline E & D & 2 & 4 & 8 \\ \hline F & B,C & 1 & 4 & 7 \\ \hline G & F & 2 & 6 & 9 \\ \hline H & E G & 3 & 5 & 7 \\ \hline \end{tabular}