Consider the Following Work Breakdown Structure What Is the Probability That the Critical Path for This

Multiple Choice

Consider the following work breakdown structure: $$\begin{array}{l}\begin{array} { l c c c c } &&&\text { Time Estimates (days) }\\\text { Activity } & \text { Precedes } & \text { Optimistic } & \text { Most Likely } & \text { Pessimistic } \\\hline \text { Start } & \text { A, B } & - & - & - \\\text { A } & \text { C, D } & 44 & 50 & 56 \\\text { B } & \text { D } & 45 & 60 & 75 \\\text { C } & \text { E } & 42 & 45 & 48 \\\text { D } & \text { F } & 31 & 40 & 49 \\\text { E } & \text { F } & 27 & 36 & 39 \\\text { F } & \text { End } & 58 & 70 & 82\end{array}\end{array}$$ What is the probability that the critical path for this project will be completed within 210 days?

A) 0.5000
B) 0.8413
C) 0.9544
D) 0.9772
E) 0.9987