M7.3 A plant engineering group needs to set up an assembly line to produce a new product. The table below describes the relationships between the activities that need to be completed for this product to be manufactured.

DAYS ACTIVITY a m b IMMEDIATE PREDECESSORS A 3 6 6 --- B 5 8 11 A C 5 6 10 A D 1 2 6 B, C E 7 11 15 D F 7 9 14 D G 6 8 10 D H 3 4 8 F, G I 3 5 7 E, F, H

Calculate the expected duration and variances for each activity. Use the expected durations to sevelop a project network for this problem and answer the following questions. questions (Note: when using the Z tables - round your Z values to two decimal places before getting the probabilities from the tables. DO NOT round standard deviations prior to calculating Z values)

NOTE: Enter probabilities as decimals (i.e 92.31% should be entered as 0.9231)

a) How many days will it take to complete the project?

b) What activities are on the critical path? (Select all activities that are on critical path)

c) What is the total variance of the project (i.e. the activities that are on the critical path)? (Enter to two decimal places)

d) What is the total standard deviation of the project (i.e. the activities that are on the critical path)? (Enter to two decimal places)

e) What is the probability that the project will be completed in less than 34 days? (Enter to three decimal places)

f) What is the probability that the project will take more than 29 days? (Enter to three decimal places)