[Three decimal places for all answers) (1) What is the expected tosk time of activity B? (2) What is the variance of the task time for activity B (3) What is the expected length of path A-B? (2) What is the standard deviation of the length of path A-B?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Question
The network diagram of a project with four activities is presented below.
Start
A
B
C
D
The estimated optimistic, most likely, and pessimistic times of each task are given in the table below. The expected time and variance
of acitivities A are also given in the table. The expected time and variance of activity C and D are irrelevant in this problem. So they
can be ignored.
optimistic
14
4
5
5
most
likely
B
18
10
7
10
End
pessimistic
23
18
13
12
Expected
time
18.167
XX
mm
variance
81/36
[Three decimal places for all answers)
(1) What is the expected task time of activity B?
(2) What is the variance of the task time for activity B
(3) What is the expected length of path A-B?
(2) What is the standard deviation of the length of path A-B?
yy
22
Transcribed Image Text:The network diagram of a project with four activities is presented below. Start A B C D The estimated optimistic, most likely, and pessimistic times of each task are given in the table below. The expected time and variance of acitivities A are also given in the table. The expected time and variance of activity C and D are irrelevant in this problem. So they can be ignored. optimistic 14 4 5 5 most likely B 18 10 7 10 End pessimistic 23 18 13 12 Expected time 18.167 XX mm variance 81/36 [Three decimal places for all answers) (1) What is the expected task time of activity B? (2) What is the variance of the task time for activity B (3) What is the expected length of path A-B? (2) What is the standard deviation of the length of path A-B? yy 22
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