At a local university, the Student Commission on Programming and Entertainment (SCOPE) is preparing to host its first rock concert of the school year. To successfully produce this rock concert, SCOPE has listed the requisite activities and related information in the following table (duration estimates measured in days).

		Immediate		Most
Activity		Predecessor(s)	Optimistic	Probable	Pessimistic
A:	Negotiate contract with	-	8	9	10
	selected musicians
B:	Reserve site	-	9	10	14
C:	Manage travel logistics	A	5	7	9
	for music group
D:	Screen & hire	B	6	8	10
	security personnel
E:	Arrange advertising	C	2	4	6
	& ticketing
F:	Hire parking staff	A, D	8.5	8.5	8.5
G:	Arrange concession sales	E	3	4	11

1. Compute the expected duration and variance of each activity. If required, round your answer to two decimals. If your answer is zero, enter 0.

   Activity		Expected Time		Variance
   A
   B
   C
   D
   E
   F
   G

   Critical

   Activity

   ES

   LS

   EF

   LF

   Slack

   Activity

   A

   B

   C

   D

   E

   F

   G

2. Determine the critical path in the project network.
3. What is the expected duration and variance of the critical path? If required, round your answer to two decimals. Expected duration = Variance =
4. What is the likelihood that the project will be completed within 30 days? If required, round your answer to four decimals. Note: Use Appendix B to identify the probability. Likelihood =
5. If activity B is delayed by six days beyond its early start time, how does this affect the expected project duration? If required, round your answer to one decimal place. A delay of 6 days to activity B (Will or Will not) affect the time to complete this project because activity B has a slack of _____ days.

6. Using all paths through the project network, estimate the probability that the project will be completed within 30 days. Compare your answer to the answer in part e and explain. Round your answers for values to 2 decimal places and for probability values to 4 decimal places.

   For path B-D-F:

   _____________

   Cumulative probability : _______

   For path A-F:

   ___________

   Cumulative probability _____________

7. P(entire project completed)= _____________