Use This Information to Answer the Following Questions -Refer to the Information Above

Use this information to answer the following questions.
Consider the following set of activities that need to be completed by a chef to cook dinner for a party of 30 guests.
$$\begin{array} { c l l } & \text { Immediate } \\\text { Activity } & \text { Predecessors } \\\hline \text { A } & - \\\text { B } & \text { A } \\\text { C } & \text { A } \\\text { D } & \text { B, C } \\\text { E } & \text { C } \\\text { F } & \text { D, E }\end{array}$$
-Refer to the information above.Assume that the chef was able to estimate the number of hours needed to complete each activity as follows.
$$\begin{array} { c c c c } \text { Activity } & \text { Optimistic time } & \text { Most Likely Time } & \text { Pessimistic Time } \\ \text { A } & 1 & 2 & 3 \\\text { B } & 1 & 2 & 2 \\\text { C } & 2 & 3 & 4 \\\text { D } & 3 & 5 & 6 \\\text { E } & 4 & 5 & 6 \\\text { F } & 3 & 6 & 7\end{array}$$
Determine the probability that the project will be completed in
a.Less than 14 hours.
b.Greater than 14 hours.
c.Less than 17 hours.
d.Greater than 17 hours.