write a formula in cell F54 to compute the probability that the entire project will be complete in 35 days.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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write a formula in cell F54 to compute the probability that the entire project will be complete in 35 days.

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30
31
32
36
37
A B
38
39
40
41
42
43
с
F
G
D
D
E,F
A
B
C
E
8
5
D
E
F
F
8
8
ES
0
0
=
7
7
16
16.5
Activity Earliest Start Earliest Finish Latest Start
G
11
10
EF
7
9.3
16
16.5
25.8
25
H
LS
0
6.7
7
7.8
16
17.3
8.50
7.83
Table 6: Activity schedule for the seven activities of the project
Variance
(rounded to 2
decimal places)
Latest
Finish
LF
7
16
16
17.3
25.8
25.8
I
0.250000
0.694444
Slack
Next, you would like to determine the variance of the project. Table 6 has the activity schedule for the seven activities.
This schedule is determined using a network diagram; please refer to Figure 7.6 in the book.
(g) Using the IF function, write a formula in J38 to display "Yes" if the activity is critical and display "No" if the activity is not critical. Copy the formula to cells J39:J44.
To calculate the entire project's variance, we simply add variance for activities on the critical path.
(h) Using the SUMIF function, write a formula in cell F46 to compute the project's variance.
(LS - ES)
0
9.3
0
0.8
0
0.8
J
(i) Project's standard deviation is the square root of the variance. Write a formula in cell F48 to compute the project's standard deviation.
DAN
(j) The earliest finish time for the last activity is the Project's duration. Write a formula in cell F50 to compute the project's duration. (Hint: You have to only refer to the cell range)
www
P
We would like to use the variance information to compute the probability that the entire project will be complete in 35 days.
In Excel, the probability can be computed using NORM.DIST function. NORM.DIST function takes four arguments, viz, X, mean, standard_dev (standard deviation), and cumulative (whether
the probability is cumulative or not). X is the target days to complete (cell F52), the mean is the project's expected duration (cell F50), the standard_dev is the standard deviation (F48), and
the cumulative probability is TRUE.
To see how to apply NORM.DIST function, you can watch the youtube videos (i) https://www.youtube.com/watch?v=OCJudfW_gHY or (ii) https://www.youtube.com/watch?v=p_KApjpyBHE
33 (k) Using NORM.DIST function, write a formula in cell F54 to compute the probability that the entire project will be complete in 35 days.
34
35
F
G
0.1100
1.7800
0.4400
1.3600
0.6900
0.2500
K
D
E,F
Is the Activity
Critical?
Yes
No
Yes
No
Yes
No
L
A
B
C
(
8
5
D
E
F
M
ES
0
Activity Earliest Start Earliest Finish Latest Start
0
7
7
16
8
8
16.5
25.8
N
EF
7
9.3
16
16.5
25.8
25
33.6
11
10
Sample Answer
Table 6: Activity schedule for the seven activities of the project
Latest
Slack
Finish
Variance
(rounded to 2
decimal places)
LS
0
6.7
7
7.8
O
16
17.3
25.8
8.50
7.83
LF
7
16
16
17.3
25.8
25.8
33.6
P
0.250000
0.694444
(LS-ES)
0
0
0.8
0
0.8
0
0.1100
1.7800
0.4400
1.3600
0.6900
0.2500
0.6900
Is the Activity
Critical?
Yes
No
Yes
No
Yes
No
Yes
Q
Transcribed Image Text:30 31 32 36 37 A B 38 39 40 41 42 43 с F G D D E,F A B C E 8 5 D E F F 8 8 ES 0 0 = 7 7 16 16.5 Activity Earliest Start Earliest Finish Latest Start G 11 10 EF 7 9.3 16 16.5 25.8 25 H LS 0 6.7 7 7.8 16 17.3 8.50 7.83 Table 6: Activity schedule for the seven activities of the project Variance (rounded to 2 decimal places) Latest Finish LF 7 16 16 17.3 25.8 25.8 I 0.250000 0.694444 Slack Next, you would like to determine the variance of the project. Table 6 has the activity schedule for the seven activities. This schedule is determined using a network diagram; please refer to Figure 7.6 in the book. (g) Using the IF function, write a formula in J38 to display "Yes" if the activity is critical and display "No" if the activity is not critical. Copy the formula to cells J39:J44. To calculate the entire project's variance, we simply add variance for activities on the critical path. (h) Using the SUMIF function, write a formula in cell F46 to compute the project's variance. (LS - ES) 0 9.3 0 0.8 0 0.8 J (i) Project's standard deviation is the square root of the variance. Write a formula in cell F48 to compute the project's standard deviation. DAN (j) The earliest finish time for the last activity is the Project's duration. Write a formula in cell F50 to compute the project's duration. (Hint: You have to only refer to the cell range) www P We would like to use the variance information to compute the probability that the entire project will be complete in 35 days. In Excel, the probability can be computed using NORM.DIST function. NORM.DIST function takes four arguments, viz, X, mean, standard_dev (standard deviation), and cumulative (whether the probability is cumulative or not). X is the target days to complete (cell F52), the mean is the project's expected duration (cell F50), the standard_dev is the standard deviation (F48), and the cumulative probability is TRUE. To see how to apply NORM.DIST function, you can watch the youtube videos (i) https://www.youtube.com/watch?v=OCJudfW_gHY or (ii) https://www.youtube.com/watch?v=p_KApjpyBHE 33 (k) Using NORM.DIST function, write a formula in cell F54 to compute the probability that the entire project will be complete in 35 days. 34 35 F G 0.1100 1.7800 0.4400 1.3600 0.6900 0.2500 K D E,F Is the Activity Critical? Yes No Yes No Yes No L A B C ( 8 5 D E F M ES 0 Activity Earliest Start Earliest Finish Latest Start 0 7 7 16 8 8 16.5 25.8 N EF 7 9.3 16 16.5 25.8 25 33.6 11 10 Sample Answer Table 6: Activity schedule for the seven activities of the project Latest Slack Finish Variance (rounded to 2 decimal places) LS 0 6.7 7 7.8 O 16 17.3 25.8 8.50 7.83 LF 7 16 16 17.3 25.8 25.8 33.6 P 0.250000 0.694444 (LS-ES) 0 0 0.8 0 0.8 0 0.1100 1.7800 0.4400 1.3600 0.6900 0.2500 0.6900 Is the Activity Critical? Yes No Yes No Yes No Yes Q
42
43
44
45
46
47
41
48
40
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
A
B
E
F
G
D
16
16.5
258
Project's Variance
E
25.8
25
33.6
Project's standard deviation
Project's Expected Duration
Target days to complete
Probability that the project will be
complete in 35 days.
F
16
17.3
25.8
1.93
1.3892
33.6
35
G
25.8
25.8
33.6
H
0
0.8
0
I
0.6900
0.2500
0.6900
J
Yes
No
Yes
K
G
L
25.8
M
N
25.8
33.6
Project's Variance
Sample Answer
O
Project's standard deviation
Project's Expected Duration
Target days to complete
Probability that the project will be
complete in 35 days
P
0.6900
1.93
1.3892
33.6
35
84.32%
Yes
Q
R
S
T
Transcribed Image Text:42 43 44 45 46 47 41 48 40 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 A B E F G D 16 16.5 258 Project's Variance E 25.8 25 33.6 Project's standard deviation Project's Expected Duration Target days to complete Probability that the project will be complete in 35 days. F 16 17.3 25.8 1.93 1.3892 33.6 35 G 25.8 25.8 33.6 H 0 0.8 0 I 0.6900 0.2500 0.6900 J Yes No Yes K G L 25.8 M N 25.8 33.6 Project's Variance Sample Answer O Project's standard deviation Project's Expected Duration Target days to complete Probability that the project will be complete in 35 days P 0.6900 1.93 1.3892 33.6 35 84.32% Yes Q R S T
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