Three Paths of a PERT Network Have These Mean Durations

Essay

Three paths of a PERT network have these mean durations and variances in weeks: $$\begin{array} { c c c } \hline \text { Path } & \begin{array} { c } \text { Mean } \\\text { Duration }\end{array} & \text { Variance } \\\hline 1 & 45 & 2.75 \\2 & 44 & 5.50 \\3 & 46 & 1.20 \\\hline \hline\end{array}$$ Which path offers the greatest risk of overrunning a contract deadline of 48 weeks?