Question 3. (30 points) Activities of a project are provided below: Activity a m Immediate predecessor - 6 3 1 Time (days) b 8 10 4 5 1 1 4 14 BD GF E, H D G a) (3 pts) Calculate expected durations, standard deviation and variances of each activity. Fill out the below table. (You can draw a similar table in your papers and fill) b) (5 pts) Construct the network diagram of activities. c) (8 pts) Identify earliest start (ES), earliest finish (EF), latest start (LS) and latest finish (LF) times of each activity. Fill out the below table. (You can draw a similar table in your papers and fill) d) (2 pts) Identify the activity slacks (total float of the activities). Fill out the below table. (You can draw a similar table in your papers and fill) e) (2 pts) Identify those activities comprising the critical path. f) (2 pts) What is the project's estimated (expected) duration? g) (2 pts) Find the probability that the project will be completed in 25 days or less. h) (2 pts) Find the probability that the project will be completed in 28 days or less. i) (2 pts) Provide a deadline of the project on which the project can be completed with 95% probability. j) (2 pts) Explain the effect on project duration; i. if only expected duration (Te) of activity B changes to 7 days? ii. if only expected duration (Te) of activity D changes to 7 days? if only expected duration (TE) of activity G changes to 7 days? iii. Question 3. (30 points) Activities of a project are provided below: Activity a m Immediate predecessor - 6 3 1 Time (days) b 8 10 4 5 1 1 4 14 BD GF E, H D G a) (3 pts) Calculate expected durations, standard deviation and variances of each activity. Fill out the below table. (You can draw a similar table in your papers and fill) b) (5 pts) Construct the network diagram of activities. c) (8 pts) Identify earliest start (ES), earliest finish (EF), latest start (LS) and latest finish (LF) times of each activity. Fill out the below table. (You can draw a similar table in your papers and fill) d) (2 pts) Identify the activity slacks (total float of the activities). Fill out the below table. (You can draw a similar table in your papers and fill) e) (2 pts) Identify those activities comprising the critical path. f) (2 pts) What is the project's estimated (expected) duration? g) (2 pts) Find the probability that the project will be completed in 25 days or less. h) (2 pts) Find the probability that the project will be completed in 28 days or less. i) (2 pts) Provide a deadline of the project on which the project can be completed with 95% probability. j) (2 pts) Explain the effect on project duration; i. if only expected duration (Te) of activity B changes to 7 days? ii. if only expected duration (Te) of activity D changes to 7 days? if only expected duration (TE) of activity G changes to 7 days
