The Three Marketeers is a startup company that has just secured its first account with an established corporation. The project manager who is assigned to this account acknowledges that there is a great deal of uncertainty with two of the activities within the project. Activity 1 has a 50:50 probability of finishing within 12 or 15 days. Activity 2 has a 50:50 probability of finishing within 13 or 17 days.

a) What is the best-case scenario completion date for this project?

b) What is the worst-case scenario completion date for this project?

c) What is the expected completion time for this project?