Problem 2. The following information has been computed for a project: Expected total time is 180 days with a standard deviation of 12 days. Show your work. Round to 4 decimal places. Circle/highlight your answers. (6pts)

You may use Excel to do the calculations, but do NOT submit any Excel files or screenshots! Write or type up your work and final answers.

a) What is the probability that the project will be completed 20 days before its expected completion date of 180 days? (3pts).

b) If you would like to be 95% certain that the project will be finished before the due date, what due date (project duration in days) would you ask for? (3pts).