You Are Responsible for Managing an Advertising and Promotion Project

You are responsible for managing an advertising and promotion project with the following activities times are given in weeks).
$$\begin{array} { c c c c c c c } \begin{array} { l } \text { Praject } \\\text { Activity }\end{array} & \begin{array} { c } \text { Immedite } \\\text { Predecessors) }\end{array} & \begin{array} { c } \text { Optimistic } \\\text { Time }\end{array} & \begin{array} { c } \text { Mast Likely } \\\text { Time }\end{array} & \begin{array} { c } \text { Pessimistic } \\\text { Time }\end{array} & \begin{array} { l } \text { Expected } \\\text { Time }\end{array} & \begin{array} { l } \text { Activity } \\\text { Variance }\end{array} \\\hline \text { A } & \text { none } & 2 & 5 & 14 & 6 & 4 \\ \text { B } & \text { none } & 8 & 11 & 14 & 11 & 1 \\ \text { C} & \text { A } & 5 & 7 & 9 & 7 & 0.44 \\ \text { D } & \text { A } & 6 & g & 12 & g & 1 \\ \text { E }&\text { B , C , D} & 1 & 3 & 5 & 3 & 0.44 \\\end{array}$$
a. What is the critical path and expected completion time for this project?
b. Which activity has the largest slack, and how large is that slack?
c. What is the probability that the project will be completed within 16 weeks?
d. If the expected time not the most likely time) for activity B is changed to 18 weeks from 11 weeks, by how many weeks will the project's expected completion time increase?