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Answer this question with respect to the PERT problem posted in Canvas (Test 10 Output document above). What is the variance of task C? Answer this question with respect to the PERT problem posted in Canvas (Test 10 Output document above). What is the value for the standard deviation of the critical path? Management Science PERT OUTPUT : The following estimates of activity times (in days) are available for a small project. Answering the following questions first will give you an early start for your test. a) Compute the expected completion time and variance for each activity. b) An analyst has determined that the project's critical path consists of B-D-F. Compute the expected project completion time and standard deviation of project completion time. c) What is the probability that the project will complete before 27 days? \begin{tabular}{|l|r|r|} \hline 1 & Month & Demand D(t) \\ \hline 2 & 1 & 70 \\ \hline 3 & 2 & 65 \\ \hline 4 & 3 & 92 \\ \hline 5 & 4 & 84 \\ \hline 6 & 5 & 91 \\ \hline 7 & 6 & 93 \\ \hline 8 & 7 & 99 \\ \hline 9 & 8 & 97 \\ \hline 10 & 9 & 99 \\ \hline 1 & 10 & 100 \\ \hline 12 & 11 & 103 \\ \hline \end{tabular}