A project is defined by the list of activities in Table $9\mathrm{.}13$a$.$Draw the AOA network.

b$.$Draw the AON network.

c$.$Find the critical path.

d$.$Find the total slack and free slack of each activity.

e$.$Suppose that activities A$,$ C$,$ I are subject to uncertainty and that only the following time estimates are available:

ActivityambA$245$C$134$I$81115$

Calculate the probability that the project will be completed in d days, for Plot the probability as a function of d$.$