solve part d of the question provided.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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solve part d of the question provided.

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
b
Predecessor(s)
Activity
b
Predecessor(s)
a
a
A
10
12
C
7
10
12
A
12
16
D
6.
8
14
This exercise contains only parts a, b, c, d, and e.
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):
TIT
Expected
Activity
Time
Variance
A
9.83
0.69
В
11.50
3.36
9.93
0.69
8.67
1.78
b) The expected completion time of the critical path = 20.17 weeks (round your response to two decimal places).
The expected completion time of the path other than the critical path = 19.76 weeks (round your response to two decimal places).
c) The variance of the critical path = 5.14 weeks (round your response to two decimal places).
The variance of the path other than the critical path = 1.38 weeks (round your response to two decimal places).
d) If the time to complete the activities on the critical path is normally distributed, then the probability that the critical path will be finished in 21 weeks or less =
(enter as a probability and round your response to two decimal
places).
Transcribed Image Text: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 b Predecessor(s) Activity b Predecessor(s) a a A 10 12 C 7 10 12 A 12 16 D 6. 8 14 This exercise contains only parts a, b, c, d, and e. 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): TIT Expected Activity Time Variance A 9.83 0.69 В 11.50 3.36 9.93 0.69 8.67 1.78 b) The expected completion time of the critical path = 20.17 weeks (round your response to two decimal places). The expected completion time of the path other than the critical path = 19.76 weeks (round your response to two decimal places). c) The variance of the critical path = 5.14 weeks (round your response to two decimal places). The variance of the path other than the critical path = 1.38 weeks (round your response to two decimal places). d) If the time to complete the activities on the critical path is normally distributed, then the probability that the critical path will be finished in 21 weeks or less = (enter as a probability and round your response to two decimal places).
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