1. Consider the network described in the table below.

Activity	Immediate Predecessor(s)	Pessimistic	Probable	Optimistic
J	--	15	10	8
K	--	9	8	7
L	J	10	6	5
M	J	3	3	3
N	K, M	9	5	1
O	K, M	10	7	4
P	L, N	10	8	3

Draw the network diagram and answer the following questions.

(a) Calculate the expected duration of each activity.

(b) Calculate the expected duration and variance of the critical path.

(c) Calculate the probability that the project will be completed in fewer than 30 time units.

Task	Early Start	Early Finish	Late Start	Late Finish	Slack	Mean	Variance
J	0
K	0
L
M
N
O
P
	Project					Project
						Std.dev