Question

The Time Numbers represent weeks
a. Find the mean time for completion of the project
b. Find the probability that the project will be completed two weeks earlier than the mean
time.
	Preceding	Optimistic	Most Likely	Pessimistic
Activity	Activity	Time	Time	Time
A. Write Book		10	13	17
B. Design Book Cover	A	1	1	1
C. Edit Manuscript	A	3	6	9
D. Check Editing	C	2	3	6
E. Accept Design	B	1	1	1
F. Copy Edit	D,E	1	2	3
G. Prepare Artwork	D,E	3	4,5	5
H. Accept and Correct	G	5	5	5
Artwork
I. Set Galleys	F	3	4	6
J. Check and Correct	I	1	1	1
Galleys
K. Pull Page Proofs	H,J	2	2	3
L. Check and Correct	I	1	1	1
Galleys
M. Prepare Index	K	1	1	1
N. Set and Correct	M	0.5	0.5	0.5
Index
O. Check Camera-	L,N	0.5	1	1.5
Ready Copy
P. Print and Bind	O	1	2	3
Book

Answer 1

The solution is provided below:

The output is shown below:

Part A:

Formula:

Output:

So, the mean time for project completion is 38.5 weeks

Part B:

Please find the solution below:

So, there is a probability of 0.1271 that the project will be completed 2 weeks earlier...

End of the Solution...