Kelle Carpet and Trim installs carpets in commercial offices. Peter Kelle has been very concerned with the amount of time it took to complete several recent jobs. Some of his workers are very unreliable. A list of activities and their optimistic completion time, the most likely completion time, and the pessimistic completion time (all in days) for a new contract are provided in a given table.
Activity Time(days) Immediate
a m b Predecessors
A 3 5 9 ------
B 4 5 6 ------
C 1 2 3 ------
D 6 7 8 C
E 2 4 6 B,D
F 5 10 13 A,E
G 1 2 3 A,E
H 4 6 8 F
I 10 11 12 G
J 14 16 18 C
K 4 8 12 H,I
Critical path is CDEFHK(36.67 days project completion).
1.) For the given project, the earliest start(ES) and earliest Finish(EF)/ Latest start(LS) and latest finish(LF) are:
Activity ES EF Activity LS LF
A K
B J
C I
D H
E G
F F
G E
H D
I C
J B
K A
2.) Referring to the standard normal table , the probability that Kelle Carpet and Trim will finish in 40 days or less is _______.
(enter as probability and round response to 2 decimal places)