Please Solve Problem 2

QUESTION 1 A project consisting of eight activities has following information. Immediate Predecessors Activity A B D E F G H Description Contract signing Questionnaire design Target market ID Survey sample Develop presentation Analyze results Demographic analysis Presentation to client Time (days) 5 5 6 13 6 4 9 A A B, C B D E, F, G i) Construct an AON network for this project. ii) Compute the earliest and the latest starting and finishing times as well as the slack time for each activity and identify the critical path. iii) Identify the minimum project completion time. QUESTION 2 Consider the project described in Question 1 above. Suppose that the activity times are random variables with a constant coefficient of variation of 0.2 (The coefficient of variation is the ratio of 4). Assume that the times given in Question 1 are the mean activity times. (a) Compute the standard deviation and variance of each of the activity times. (b) Find the mean and the variance of the path with the longest expected completion time (critical path). (c) Using the results of part (ii), estimate the probability that the project is completed within 20 weeks. (d) Using the results of part (ii), estimate the number of weeks required to complete the project with probability 0.85