Part I (15 points) Consider the following project network and its activity times. 10 Start Finish) B H a) Compute ES, EF, LS, LF, slack for each activity. (5 points) Activity ES EF LS LF Slack TIME (WEEKS) 6 A B 5 2 Ol Al 3 D 2 4 F 6 G G 10 H 7 c) What are the critical path(s) and the minimum time to complete the project? (4 points) Critical path(s): Minimum time to complete the project: d) Now assume that the duration of some activities is not known with certainty. The estimates of these activities are shown below. Assuming that the duration of the other activities remains unchanged, answer the following questions. Activity Variance Expected Time (Weeks) 6 0.5 B 5 0.4 7 1.5 E 4 0.75 G 10 2 1) Given this new information, what is the project's expected completion time and standard deviation? Show your work. (4 points) 11) Calculate the probability of completing the project in 21 weeks. (2 points)