A flood-control system is designed such that the probability of the system capacity being exceeded X times in 30 years is given in the following table. What is the mean number of system failures expected in 30 years? What are the variance and skewness of the number of failures? X₁ f(x₁) 0.04 0.14 0.23 0 1 2 3 4 5 6 7 8 9+ 0.24 0.18 0.1 0.05 0.02 0.01 0.00
A flood-control system is designed such that the probability of the system capacity being exceeded X times in 30 years is given in the following table. What is the mean number of system failures expected in 30 years? What are the variance and skewness of the number of failures? X₁ f(x₁) 0.04 0.14 0.23 0 1 2 3 4 5 6 7 8 9+ 0.24 0.18 0.1 0.05 0.02 0.01 0.00
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
![A flood-control system is designed such that the probability of the system capacity being
exceeded X times in 30 years is given in the following table. What is the mean number of system
failures expected in 30 years? What are the variance and skewness of the number of failures?
X₁
f(x₁)
0.04
0.14
0.23
0.24
0.18
0.1
0.05
0.02
0.01
0.00
0
1
2
3
4
5
6
7
8
9+
00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb19fb600-654f-4bb5-880f-15449a731741%2F20cc17dc-405a-469b-9a4f-66ab8234eff0%2F2i7tnll_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A flood-control system is designed such that the probability of the system capacity being
exceeded X times in 30 years is given in the following table. What is the mean number of system
failures expected in 30 years? What are the variance and skewness of the number of failures?
X₁
f(x₁)
0.04
0.14
0.23
0.24
0.18
0.1
0.05
0.02
0.01
0.00
0
1
2
3
4
5
6
7
8
9+
00
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