M) The dates of the IMAD meeting were established well in advance to the actual event, so that the venue could be chosen appropriately and participants would have enough time to plan their travels. As a result, the required tasks to organize the events must be managed in a very timely and careful way to avoid any delays. Another team has organized the remaining high-level tasks that are required for the organization of the event. They are listed in the following table,

alongside three estimates of their durations.

Considering that durations follow a beta distribution, in how many weeks are we expected to complete all tasks required for the event? Show all the steps and the network that you used to obtain this expectation. ( 3 pts) 2. Which are the tasks that cannot be delayed so as to finish within the expected completion time? How did you find those tasks? ( 3 pts) 3. We promised the meeting chair that we would start all activities 30 weeks before the actual conference. Is this a reasonable timeline? Justify using a convincing statistical reason. ( 3 pts) 4. One of the teams suggested changing the venue for a less-costly one. This would leave us with 22 weeks to all 13 tests. Is that reasonable? As in question 6 , use a convincing statistical argument to justify your answer. (3 pts) 5. Would the alternatives that you proposed on question 3 impact the timeline of the tasks above? Please explain. (1 pts)