Let A and B denote the events that the earthquake magnitude is low and the road debris is moderate. Are these events independent?
Let A and B denote the events that the earthquake magnitude is low and the road debris is moderate. Are these events independent?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An article in the Transportation Research Part E Journal ["Arc Routing Problems to Restore Connectivity of a Road Network" (2016)]
considered ways of re-establishing the connectivity of road networks after a natural disaster - earthquake. Estimates of the
probabilities of a randomly chosen road being under light debris, moderate debris, and heavy debris conditions after different disaster
magnitudes are shown in the following table. Disaster magnitude is equally likely to be low, moderate or high.
Disaster
Magnitude
Low
Moderate
High
Total
Light Moderate Heavy Total
Debris Debris Debris
80
50
30
160
O No, because
P(An B) = P(A)P(B)
O No, because
P(An B) > P(A)P(B)
O Yes, because
O Yes, because
P(A) + P(B)
105
O Yes, because
P(An B) = P(A)P(B)
15
40
Let A and B denote the events that the earthquake magnitude is low and the road debris is moderate. Are these events independent?
P(An B) P(A)P(B)
50
P(An B) P(A)P(B)
5
10
20
100
100
100
35 300
O Yes, because road debris can be not only moderate after earthquake with low magnitude.
O No, because](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F032f9f2f-4a86-4f7c-abbd-a161821f35fd%2Fa92fba5c-7d1a-4eb5-8508-54356ab6decd%2Fr0r59n6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Current Attempt in Progress
An article in the Transportation Research Part E Journal ["Arc Routing Problems to Restore Connectivity of a Road Network" (2016)]
considered ways of re-establishing the connectivity of road networks after a natural disaster - earthquake. Estimates of the
probabilities of a randomly chosen road being under light debris, moderate debris, and heavy debris conditions after different disaster
magnitudes are shown in the following table. Disaster magnitude is equally likely to be low, moderate or high.
Disaster
Magnitude
Low
Moderate
High
Total
Light Moderate Heavy Total
Debris Debris Debris
80
50
30
160
O No, because
P(An B) = P(A)P(B)
O No, because
P(An B) > P(A)P(B)
O Yes, because
O Yes, because
P(A) + P(B)
105
O Yes, because
P(An B) = P(A)P(B)
15
40
Let A and B denote the events that the earthquake magnitude is low and the road debris is moderate. Are these events independent?
P(An B) P(A)P(B)
50
P(An B) P(A)P(B)
5
10
20
100
100
100
35 300
O Yes, because road debris can be not only moderate after earthquake with low magnitude.
O No, because
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