X= 5 X= 10 X= 15 Y= 10 0.05 0.10 Y= 20 0.10 0.25 0.20 Y= 30 0.05 0.15 0.10 The joint probability mass function due to an earthquake at a given location is shown in the table above. X is for landslide in (mm) Y is for aftershock (cubic meter per second; cms)- discretized for simplicity 1. What is the probability that the next earthquake will bring a landslide of 10 mm or less and of less than 20 cms? 2. After an earthquake, the gauge indicates a landslide of 15 mm. What is the probability that the aftershock in this earthquake is 20 cms or more? 3. Are landslide and aftershock statistically independent? Substantiate your answer, write your complete justification.
X= 5 X= 10 X= 15 Y= 10 0.05 0.10 Y= 20 0.10 0.25 0.20 Y= 30 0.05 0.15 0.10 The joint probability mass function due to an earthquake at a given location is shown in the table above. X is for landslide in (mm) Y is for aftershock (cubic meter per second; cms)- discretized for simplicity 1. What is the probability that the next earthquake will bring a landslide of 10 mm or less and of less than 20 cms? 2. After an earthquake, the gauge indicates a landslide of 15 mm. What is the probability that the aftershock in this earthquake is 20 cms or more? 3. Are landslide and aftershock statistically independent? Substantiate your answer, write your complete justification.
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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Hi! I need answers on problems 1 to 3. Please include solutions. Thank you!
Transcribed Image Text:X= 5
X= 10
X= 15
Y= 10
0.05
0.10
Y= 20
0.10
0.25
0.20
Y= 30
0.05
0.15
0.10
The joint probability mass function due to an earthquake at a given location is shown in the table above.
X is for landslide in (mm)
Y is for
ftershock (cubic meter per second; cms)- discretized for simplicity
1. What is the probability that the next earthquake will bring a landslide of 10 mm or less and of less
than 20 cms?
2. After an earthquake, the gauge indicates a landslide of 15 mm. What is the probability that the
aftershock in this earthquake is 20 cms or more?
3. Are landslide and aftershock statistically independent? Substantiate your answer, write your
complete justification.
4. Determine the correlation between landslide and aftershock. Interpret the result.
5. If landslide is 10 mm, what is the expected aftershock (cms) and what is the standard deviation?
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