. Problem 1 (20 marks) Please note that this problem has six parts. You may need to scroll the screen down, navigate left and right to see the whole problem. Clearly label your parts when answering. You are allowed three pictures for this problem. Must use pen to answer. Show all calculations/result to FOUR PLACES AFTER THE DECIMAL POINT (except when all succeeding digits are zeros). Must Show all calculations/steps. Failure to do so will result in a score of O" even final answer is correct. Pond Furnace Installation Services (PFIS) is owned by Jonna. She is very concerned with the amount of time it took to complete several recent jobs. Some of her workers are very unreliable with respect to time. A list of activities and their optimistic completion time (a), the most likely completion time (m), and the pessimistic completion time (b) for a new contract are determined. Based on the assumption that the activity times follow a beta distribution, the expected activity time and the standard deviation of each activity are calculated for you and are given in the table below: Activity Immediate Expected Time (days) Standard Deviation Predecessor (s) A B D E F G H T J K None A None None AD C, E B, E E F . GU 10 15 23 13 7 10 1.0000 2.3333 3.0000 1.6667 1.6667 2.0000 2.3333 1.6667 0.3333 2.0000 1.6667 13 8 2 13 6 Deco Construct a network diagram and determine ES, EF, LS, LF and slack for each activity. Determine the expected project completion time and the critical path/s. What is the probability that PFIS will finish the project within 42 days? What is the probability that PFIS will take more than 47 days to complete the project? What is the probability that PFIS will take more than 44 days but less than 51 days to complete the project? If Jonna wants to complete the project with a 97.6% assurance, then how many days from the due date should she need to start the project? You can leave your answer in decimals. f) When you completed a problem, upload the solution immediately before moving to the next problem. If this is your last problem, then submit this part of the test. Remember: Ensure your image/s is/are uploaded BEFORE the last minute. During the last minute of the test/exam, it is possible that your file/s attaching/uploading process may not be completed and time might be over resulting in that part of the test being closed. It is your responsibility to make sure your solution file/s are uploaded on time, failure to do so may result in your answers not being recorded or marked. Note: Before uploading, check file/s is/are executing appropriately and visible