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. 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?
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. 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?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
Related questions
Question
Hello! Please help me on numbers 4 to 5. Thank youuuu!
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage