Question 3: (6 marks) 3.1) Calculate the expected project duration and its standard deviation for the construction project that consists of the following activities: (2 marks) C D E G Activity Expected Duration (days) Standard Deviation (days) A 3 B 3 F 9 6 4 5 9 2 3 4 3 4 4 5 A D TITI 0.79 Z -2.00 -1.50 -1.30 -1.00 -0.90 -0.80 -0.70 -0.60 -0.50 -0.40 -0.30 -0.20 -0.10 0.00 Probability Probability 0.02 0.98 0.07 0.93 0.10 0.90 0.16 0.84 0.18 0.82 0.21 0.24 0.76 0.27 0.73 0.31 0.69 0.34 0.66 0.38 0.62 0.42 0.58 0.46 0.54 0.50 0.50 Z 2.00 1.50 1.30 1.00 0.90 0.80 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0.00 F Start B E End G Expected Project Duration (1 mark) Standard Deviation of Project Duration (1 mark) 3.2) In a range estimating problem, it was found that the expected project cost is $4,000,000 and the standard deviation of the project cost = $100,000. For this project, use the space below to compute: (3 marks) a) The probability that the project cost will be between $3,900,000 and $4,100,000. (1.5 marks) b) The project cost that provides 82% probability of not being exceeded. (1.5 marks) 3.3) Complete the missing in the following paragraph: (1 mark) In the PERT scheduling method, the type of probability distribution used at the activity level is and at the project level is