For the project defined in Problem $1$ from Chapter $10,$ suppose that a Monte Carlo simulation

with five repetitions is desired. Suppose further that the activity durations have a triangular

distribution with the following lower and upper bounds: A:$4,8$; B:$4,9,$ C: $0\mathrm{.}5,2$; D: $10,20$; E: $4,7$;

F: $7,10$; G: $6,12$; H: $2,4$; I: $4,7$; J: $2,4$; K: $2,6$; L: $10,15$; M: $2,9$; N: $1,4$; O: $4,11.$

$($a$)$ Calculate the value of m for each activity given the upper and lower bounds and the

expected duration shown in Table $10-16.$

$($b$)$ Generate a set of realizations for each activity and calculate the resulting project

duration.

$($c$)$ Repeat part $($b$)$ five times and estimate the mean and standard deviation of the project

duration.