Which one is CORRECT about project scheduling? a) Arcs in a project network indicate the critical path. b) The latest finish time for an activity is the largest of the latest start times for all activities that immediately follow the activity. c) Shortening activity times, which is usually accomplished by adding resources to the project, is called crashing. d) The variance in the project completion time is the sum of the variances of all activities in the project. State of Nature Alternative S1 52 A1 75 -40 A2 0 100 Prior Probability 0.6 0.4 There is an option of paying $100 to have research done to better predict which state of nature will occur. When the true state of nature is S1, the research will accurately predict 51 60% of the time. When the true state of nature is S2, the research will accurately predict S2 90% of the time. Given that the research is done, what is the joint probability that the state of nature is 51 and the research predicts 52? a) 0.08 b) 0.24 c) 0.32 d) 0.16