$($All answers were generated using $1,000$ trials and native Excel functionality.$)$

regarding each activity. An activity's immediate predecessors are the activities that must be completed before the considered activity can begin. The table also lists duration estimates $($in days$)$ for each activity.

both completed. The project is not complete until all activities are completed.

$($a$)$ Using the triangular distribution to represent the duration of each activity, construct a simulation model to estimate the average amount of time to complete the concert preparations.

Round your answers to one decimal place.

$($b$)$ What is the likelihood that the project will be complete in $23$ days or less?

Round your answer to the nearest whole number.