A bank is planning to install a new computerized accounts system. Bank management has determined the activities required to complete the project. The precedence relationships of the activities, and activity time estimates as follows:

Activity	Predecessor	a (wks)	m (wks)	b (wks)
a	--	5	8	17
b	--	3	12	15
c	a	4	7	10
d	a	5	8	23
e	b, c	1	1	1
f	b, c	1	4	13
g	d, e	3	6	9
h	d, e	1	2.5	7
i	h	1	1	1
j	f, g	2	2	2
k	g, i	5	8	11

1. Construct the CPM network. (15 pts)
2. Determine the earliest and latest activity start and finish times (show in the network). (5 pts)
3. Calculate the probability that the project will be completed in 40 weeks or less. (5 pts)