​a) Based on the activity time​ estimates, the expected times and variance for each of the activities are ​(round your response to two decimal​ places): Activity Expected Time   Variance A _____   _______   B ______   ________   C ______   ________   D _______   ________ ​b) The expected completion time of the project​ = _____ weeks ​(round your response to two decimal ​places).   ​c) The project variance of completion time​ = ______ weeks ​(round your response to two decimal ​places).   ​d) If the time to complete the project is normally​ distributed, then the probability that the project will be finished in 22 weeks or less​ = _____ ​(enter as a probability and round your response to two decimal​ places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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1. 

The estimated times and immediate predecessors for the activities in a project at Howard​ Umrah's retinal scanning company are given in the following table. Assume that the activity times are independent.

                                                                                                                                                                  

 

Time ​(weeks​)

Immediate

 

Time ​(weeks​)

Immediate

Activity

a

m

b

​Predecessor(s)

Activity

a

m

b

​Predecessor(s)

A

9

 

10

 

13

 

C

8

 

9

 

12

 

A

B

5

 

11

 

16

 

D

4

 

10

 

12

 

B

This exercise contains only parts​ a, b,​ c, and d.

​a) Based on the activity time​ estimates, the expected times and variance for each of the activities are ​(round your response to two decimal​ places):

Activity

Expected Time

 

Variance

A

_____

 

_______

 

B

______

 

________

 

C

______

 

________

 

D

_______

 

________



​b) The expected completion time of the project​ = _____ weeks ​(round your response to two decimal ​places).

 

​c) The project variance of completion time​ = ______ weeks

​(round your response to two decimal ​places).

 

​d) If the time to complete the project is normally​ distributed, then the probability that the project will be finished in 22 weeks or less​ = _____

​(enter as a probability and round your response to two decimal​ places).

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