Consider the network described in the table below. (Round answers to two decimal places)

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	M	9	5	1
O	K, M	10	7	4
P	L, N	10	8	3

a) Calculate the expected duration, variance, ES, EF, LS, LF, and slack of each activity.

Use a table similar to the table below.

Task	Early Start	Early Finish	Late Start	Late Finish	Slack	t	variance
J
K
L
M
N
O
P

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

c) Calculate the probability that the project will be completed in fewer than 24 time units.