A competitor of Kozar International, Inc. has begun marketing a new instant developing film project. Kozar has had a similar product under study in its R&D department but has not yet been able to begin production. Because of the competitor's action, top managers have asked for a speedup of R&D activities so that Kozar can produce and market instant film at the earliest possible date. The predecessor information and activity time estimates in months are shown in the next column. Assume that the project completion time is distributed normally. The critical path for this project is A-B-D-E-H.

Calculate the expected time and variance for each activity.

1. Determine the estimated project completion time and the standard deviation of the critical path. Show all calculations.
2. What is the probability of finishing the project in 25 weeks or earlier? (Show all calculations. "Guesses" are not accepted as an answer.)
3. What is the probability of finishing the project in 30 weeks or earlier? (Show all calculations. "Guesses" are not accepted as an answer.)
4. What is the probability of finishing the project in 30 weeks or earlier? (Show all calculations. "Guesses" are not accepted as an answer.)

5. [20 points] A competitor of Kozar International, Inc. has begun marketing a new instant developing film project. Kozar has had a similar product under study in its R\&D department but has not yet been able to begin production. Because of the competitor's action, top managers have asked for a speedup of R\&D activities so that Kozar can produce and market instant film at the earliest possible date. The predecessor information and activity time estimates in months are shown in the next column. Assume that the project completion time is distributed normally. The critical path for this project is A-B-D-E-H. a. Calculate the expected time and variance for each activity. b. Determine the estimated project completion time and the standard deviation of the critical path. Show all calculations. c. What is the probability of finishing the project in 25 weeks or earlier? (Show all calculations. "Guesses" are not accepted as an answer.) d. What is the probability of finishing the project in 30 weeks or earlier? (Show all calculations. "Guesses" are not accepted as an answer.)