Question 1: Table 1 shows the planned tasks of a specific phase (irrelevant of the software process adopted) for a small software project). Note 1: All times are in days. Note 2: The project workflow proceeds from Task 1 to Task 11.

Table 1: Planned tasks of a specific project phase. Task ID Task Name Estimated Time Predecessors 1 Task 1 2 2 Task 2 1 3 Task 3 5 4 Task 4 1 3 5 Task 5 3 2 6 Task 6 1 3 7 Task 7 3 1 8 Task 8 1 6 9 Task 9 1 5,3,7 10 Task 10 1 7 11 Task 11 2 4,8,9,10

a. Draw the network diagram for executing the tasks shown in Table 1and note how long they are. b. What is (are) the critical path(s) for this phase and how long it (they) takes in day?

c. What is the shortest possible time it will take to complete this project phase?

d. [2 points] Calculate the free the total float (slack) and for each of the activities of the network.

Activity ID Activity Name Free Slack Total Slack 1 Task 1 2 Task 2 3 Task 3 4 Task 4 5 Task 5 6 Task 6 7 Task 7 8 Task 8 9 Task 9 10 Task 10 11 Task 11

e. Assume that Task 5 took two extra days. Would the project completion time change? Explain. f. Assume that Task 7 took one extra day. Would the project completion time change? Explain.

Question 2

Three-point estimating

Instead of providing activity estimates as a discrete number, such as four weeks, its often helpful to create a three-point estimate. An estimate that includes an optimistic, most likely, and pessimistic estimate. -Optimistic (to) -Most Likely (tm) -Pessimistic (tp)

Use the following equation to calculate the expected duration:

Beta Distribution

For Activity A:

Optimistic = 4 hours , Most Likely = 8 hours , Pessimistic = 16 hours The Standard Deviation is a measure of variability from the mean and is defined as (p - o)/6 so in the example above Calculate the three point estimate and the standard deviation of activity A. Explain your answer.