Please solve the following problems related to Chapter 17: Project Management: 1. Based on the following AOA diagram, please answer the following question: (1) Determine the critical path and the expected project duration (2) Determine the following quantities for each activity: the earliest start time, the latest start time, the earliest finish time and the latest finish time and the slack time. C (8) F (5) A (5) 1(6) D (12) G (3) H(10) B (9) E (12) 3 2. Here is an Activity on Arrow (AOA) network diagram for a project. The lettered A through F represents an activity, as shown in the accompanying precedence diagram. A ( ) D B E O "The probabilistic time for cach activity is as follows Activity Time Activity 4-5-6 D B 2-5-6 E 34.5 F Time 4.5-6 2-5-6 3-4-6 What is the expected time and standard deviation of each path