The expected times and variances for the project activities are given below. What is the probability of completing the project in 24 periods? Variance ID Description Predecessor [(b - al/6? Pilot production Select channels of distrib. Develop mktg. program Test market 1 None 3 2 None 4 3 None 4 1 2 5 Patent 10 5 Full production Ad promotion Release 4 10 7 3 8 2,5,6,7 2 1 6744 O63
The expected times and variances for the project activities are given below. What is the probability of completing the project in 24 periods? Variance ID Description Predecessor [(b - al/6? Pilot production Select channels of distrib. Develop mktg. program Test market 1 None 3 2 None 4 3 None 4 1 2 5 Patent 10 5 Full production Ad promotion Release 4 10 7 3 8 2,5,6,7 2 1 6744 O63
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![The expected times and variances for the project activities are given below. What is the probability of completing the
project in 24 periods?
Variance
ID
Description
Predecessor
[(b – a)/6P
Pilot production
Select channels of distrib.
Develop mktg. program
Test market
1
None
2
None
7
3
None
4
4
1
4
2
Patent
1
10
Full production
Ad promotion
Release
4
16
10
7
3
2
8
2,5,6,7
2
1
Z Value
Probability
Z Value
Probability
-2.0
-1.5
0.02
+2.0
0.98
0.07
+1.5
0.93
-1.0
0.16
+1.0
0.84
-0.7
0.24
+0.7
0.76
-0.5
0.31
+0.5
0.69
-0.3
0.38
+0.3
0.62
-0.1
0.36
+0.1
0.54](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fee3698-bcc1-44e0-b387-4b777ebdc96f%2Fc4cbbccc-d1cb-4fed-a6ac-ffaa7e990f5c%2Fjcm5cb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The expected times and variances for the project activities are given below. What is the probability of completing the
project in 24 periods?
Variance
ID
Description
Predecessor
[(b – a)/6P
Pilot production
Select channels of distrib.
Develop mktg. program
Test market
1
None
2
None
7
3
None
4
4
1
4
2
Patent
1
10
Full production
Ad promotion
Release
4
16
10
7
3
2
8
2,5,6,7
2
1
Z Value
Probability
Z Value
Probability
-2.0
-1.5
0.02
+2.0
0.98
0.07
+1.5
0.93
-1.0
0.16
+1.0
0.84
-0.7
0.24
+0.7
0.76
-0.5
0.31
+0.5
0.69
-0.3
0.38
+0.3
0.62
-0.1
0.36
+0.1
0.54
![Hints:
1. First calculate Activity time for each activity (done and GIVEN to you in the table above)
2. Then variance square for each activity (GIVEN to you)
3. Using the Activity Time and Predecessor information, Draw the project network diagram
4. Calculate Early start & Finish, Late start & Finish, Slack and find out the critical path duration and critical
activities.
5. Then find out the value of Z. While calculating the square root of variances, include the varaiances of critical
actvities only.
Ts
Z =
T
-
E
te?
6. Using the probability table given in the above, find out the corresponding percentage for the Z value calculated.
O a. 0.84
O b. 0.16
OC.- 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fee3698-bcc1-44e0-b387-4b777ebdc96f%2Fc4cbbccc-d1cb-4fed-a6ac-ffaa7e990f5c%2F3c8uu8f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Hints:
1. First calculate Activity time for each activity (done and GIVEN to you in the table above)
2. Then variance square for each activity (GIVEN to you)
3. Using the Activity Time and Predecessor information, Draw the project network diagram
4. Calculate Early start & Finish, Late start & Finish, Slack and find out the critical path duration and critical
activities.
5. Then find out the value of Z. While calculating the square root of variances, include the varaiances of critical
actvities only.
Ts
Z =
T
-
E
te?
6. Using the probability table given in the above, find out the corresponding percentage for the Z value calculated.
O a. 0.84
O b. 0.16
OC.- 1
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