Based on past experience, the director is not very confident about the time estimates for some of the activities.

The director’s estimates for the minimum, most likely, and maximum times for these activities are Activity a m b F 2 3 12 I 1 2 8 J 3 4 10 K 1 2 7

a. Including these PERT time estimates, how long is the filming expected to take?

b. What is the probability that the number of days required to complete the filming of the scene is at least 30 percent larger than the answer you found in part (a)?

c. For how many days should the director plan in order to be 95 percent confident that the filming of the scene is completed?