5. In a CPM network, the critical path has five activities. Their durations are tabulated next.

Compute the following:

a. The probability that the project will finish by the end of day 32.

b. The probability that the project will finish by the end of day 34.

c. The probability that the project will finish before day 30.

d. The probability that the project will finish on day 32.

e. The probability that the project will finish no later than day35.

f. The probability that the project will finish at least 2 days early.

g. The probability that the project will finish at least 2 days late.

h. The probability that the project will finish on day 32 1 day.

i. The completion date with at least a 90% confidence level.

\begin{tabular}{lccc} \hline & \multicolumn{3}{c}{ Duration (Days) } \\ \cline { 2 - 4 } Activity & Optimistic (To) & Most Likely (Tm) & Pessimistic (Tp) \\ \hline A & 2 & 5 & 9 \\ B & 3 & 4 & 8 \\ C & 4 & 6 & 9 \\ D & 5 & 10 & 20 \\ E & 3 & 5 & 9 \\ \hline \end{tabular}