3 of 8 Problem2 Qatar University has a project which was planned using PERT wth three time estimates. The expected completion time of the project was determined to be 40 weeks. The varance of the critical path is s9 5 Marks) (a) What is the probability that the project will be finished in 40 weeks or less? (b) What is the probability that the project will take longer than 46 weeks? (c) I the contracting company has agreed in the contract to pay an amount of 2 ilion Qatani Ryal f the project is completed in a period, which is one month longer than the expected completion time, what is the probability that the contracting company is going to pay the penalty? a The projedt manager wishes to set the due date for the compleion of the projedt so that there is a9%dance of finishing on schedule. Thus, there would only be a 10% chance the project would take longer than this due date. What should this due date be? (5 Marks) Problem 3 A construction company in Doha is implementing the plan to construct a lab for Qatar University. The project’s details are illustrated in the following Table Nomal Crash Activity Predecessors Tme Tme Normal Crash Crash weeks (weeks cost per cost cos 7,000 | 8.000