Recently, you were assigned to manage a project for your company. You have constructed a network diagram depicting the various activities in the project (shown below to the right). In addition, you have asked your team to estimate the amount of time that they would expect each of the activities to take. Their responses are shown in the following table: Time Estimates (days) Activity Optimistic Most Likely A 4 B 3 C 4 D 1 E 3 8 7 5 4 8 Pessimistic 12 10 8 5 9 Start B D E Finish a. What is the expected completion time of the project? The expected completion time is 19 days. (Enter your response as an integer.) b. What is the probability of completing the project in 21 days? Refer to the standard normal table. The probability of completing the project in 21 days is J (Enter your response rounded to four decimal places.)
Recently, you were assigned to manage a project for your company. You have constructed a network diagram depicting the various activities in the project (shown below to the right). In addition, you have asked your team to estimate the amount of time that they would expect each of the activities to take. Their responses are shown in the following table: Time Estimates (days) Activity Optimistic Most Likely A 4 B 3 C 4 D 1 E 3 8 7 5 4 8 Pessimistic 12 10 8 5 9 Start B D E Finish a. What is the expected completion time of the project? The expected completion time is 19 days. (Enter your response as an integer.) b. What is the probability of completing the project in 21 days? Refer to the standard normal table. The probability of completing the project in 21 days is J (Enter your response rounded to four decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Recently, you were assigned to manage a project for your company. You have constructed a network diagram
depicting the various activities in the project (shown below to the right). In addition, you have asked your team to
estimate the amount of time that they would expect each of the activities to take. Their responses are shown in the
following table:
Time Estimates (days)
Activity Optimistic Most Likely
A
4
B
3
C
D
E
4
1
3
8
7
5
4
8
Pessimistic
12
10
8
5
9
Start
A
B
E
Finish
a. What is the expected completion time of the project?
The expected completion time is 19 days. (Enter your response as an integer.)
b. What is the probability of completing the project in 21 days? Refer to the standard normal table.
The probability of completing the project in 21 days is
N
(Enter your response rounded to four decimal places.)
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