Problem 1 (5 points): Construct a critical path diagram with the activity information on the nodes. Identify the ES, EF, LS and LF for each node. Provide the total expected project duration and identify the critical path. Problem 2 (5 points): What is the probability that the project finishes in under 55 weeks? Problem 3 (5 points): What is the probability that the project takes more than 68 weeks? Problem 4 (5 points): What project duration will be met (project finished at this time or earlier) 95% of the time? Table 1: Project Activity Time Data