The activity times, in three different estimates (optimistic, most likely, and pessimistic), are as follows. Activity Optimistic (a) Most Likely (m) Pessimistic (b) 2 6 8 B 6 8 12 ON 15 D 4 5 8 E 2. 5 11 F 6 7 9 G 2 4 7 H 3 7 7 Use the above information to do your analysis in the next question. What is the expected time (te) for each activity? Round your calculations to the nearest second decimal point. Show all your work. What is the critical path, and how long is this project expected to last? Show all your work. What is the variance of the critical path? Round your calculations to the nearest second decimal point. Show all your work. Suppose you have a personal goal of completing this project in 32 weeks. Use the above information to do your analysis in the next question. Do not answer this question OR enter O here: Question 13 8 pt What is the probability that you will be able to meet this goal? Round your analysis to the nearest second decimal point. Show all your work A certain project has the following precedence relationships. Activity Immediate Predecessor(s) A B .C D A B E B F C, E DE UI F, G Draw the network diagram and submit its picture file. What are the paths, from start to finish? List them all here: The activity times, in three different estimates (optimistic, most likely, and pessimistic), are as follows. Activity Optimistic (a) Most Likely (m) Pessimistic (b) 2. 6 8 B 6 00 12 4 9 15 D 4 5 00 E N 11 F 6 7 9 G 2 4 7 H 3 7 7 Use the above information to do your analysis in the next question. What is the expected time (te) for each activity? Round your calculations to the nearest second decimal point. Show all your work. What is the critical path, and how long is this project expected to last? Show all your work. What is the variance of the critical path? Round your calculations to the nearest second decimal point. Show all your work Suppose you have a personal goal of completing this project in 32 weeks. Use the above information to do your analysis in the next question. Do not answer this question OR enter O here: Question 13 8P What is the probability that you will be able to meet this goal? Round your analysis to the nearest second decimal point. Show all your work