After the first interview, ABC Telecom could not decide whom to hire as the new project manager. Since Tom did well in his first interview, he was invited back to attend the second interview. He was given the following problem to solve: The company is bidding for a tender to install and commission a fibre communication network at the new headquarter for AIG Australia Ltd located on Park Street, Sydney. The new headquarter occupies five (5) floors in a 20-storey commercial building and has a combined floor area of 4,000 sq. metres. As the project manager, Tom is asked by his supervisor to provide an estimate of how long the project might take since the client has requested this information specifically for the kick-off project meeting in a weeks time. Toms supervisor told him that what the client wants are probabilities of finishing the project within a specified period of time, such as in four (4) weeks, five (5) weeks, or six (6) weeks time, for instance. a) If you were Tom, what would be your approach in calculating these probabilities. To receive full marks, you must describe your approach fully. [10 Marks] b) Below are listed the figures which are needed to come up with the measures that he could report to the client. Project initiation, scoping and planning estimates 6 weeks: 10% 7 weeks: 50% 8 weeks: 40% Project execution, closure and handover estimates 10 weeks: 20% 11 weeks: 40% 12 weeks: 40% For his report to the client, Tom decided to present those measures in a tree diagram that highlighted the estimates. i. Please help Tom draw the tree diagram. [3 Marks] ii. What would be the chance of finishing the project within 16 weeks? 21 weeks? To receive full marks, you must show your steps clearly.