3. The critical path of a project based on expected time has been identified. Each activity along the path has three duration estimates. Data on the critical path activities is shown below.

26 3. The critical path of a project based on expected time has been identified. Each activity along the path has three duration estimates. Data on the critical path activities is shown below. Activity Optimistic Duration Most Likely Duration Pessimistic Duration ONE 13 19 FIVE 7 13 18 SIX 10 15 21 EIGHT 7 12 17 TEN 9 15 21 FOURTEEN 9 16 22 TWENTY 7 9 15 a) What is the duration of the critical path based on expected time? Round up to an integer. b) What is the standard deviation of the critical path (round to two decimals)? c) If asked to state the duration that you as project manager was confident at the 80% level that the project would take to complete, what duration value would you provide? Use the unrounded mean to calculate but round up to an integer the final answer. d) If the project sponsor requested that the project be completed by the end of period 105, what is the probability of that occurring using the information on hand? State in decimal form (2 digits after the point)