1. Sam Sparrow Manufacturing produces custom-built pollution control devices for medium-size steel mills. The most recent project undertaken by Sam requires 14 different activities. (20 points)
2. Sam's managers would like to determine the total project completion time (in days) and those activities that lie along the critical path. The appropriate data are shown in the following table.
3. What is the probability of being done in 53 days?
4. What date results in a 99% probability of completion?

1. Sam Sparrow Manufacturing produces custom-built pollution control devices for medium-size steel mills. The most recent project undertaken by Sam requires 14 different activities. (20 points)
2. Sam's managers would like to determine the total project completion time (in days) and those activities that lie along the critical path. The appropriate data are shown in the following table.
3. What is the probability of being done in 53 days?
4. What date results in a 99% probability of completion?

Activity	Immediate Predecessors	Optimistic Time	Most Likely Time	Pessimistic Time
A	---	4	6	7	5.83	.5
B	---	1	2	3	2
C	A	6	6	6	6	0
D	A	5	8	11	8
E	B, C	1	9	18	9.17	2.83
F	D	2	3	6	3.33
G	D	1	7	8	6.17
H	E, F	4	4	6	4.33	0.33
I	G, H	1	6	8	5.5	1.17
J	I	2	5	7	4.83
K	I	8	9	11	9.17	0.5
L	J	2	4	6	4
M	K	1	2	3	2	0.33
N	L, M	6	8	10	8	0.67