Question 1 According to The United States Geological Survey (USGS), the probability that an earthquake measuring magnitude 7.5 on the Richter scale will occur in the Los Angeles area annually is 0.017. Round all results to 4 decimal places. (a) (b) (c) In USGS's prediction, one can apply the binomial distribution B(n, p) to model the number of the earthquakes in n years. Calculate the probability of an earthquake measuring magnitude 7.5 that will hit the Los Angeles area in the next 30 years. (b) Calculate the probability that no earthquake measuring 7.5 will occur in the Los Angeles area in the next 10 years. Find the probability that one or more earthquakes measuring 7.5 will strike Los Angeles area in the next 30 years. Question 2 Use the same annual probability of success p = 0.017 of earthquakes of magnitude 7.5 hitting Los Angeles as predicted by USGS in Question 1. (a) Using the Poisson Distribution, calculate the probability that at least one earthquake measuring 7.5 will occur in Los Angeles area in the next 30 years. Compare the results found in Question 2(a) against the result from Binomial Distribution in Question 1(c). Which answer is "technically" more correct?
Question 1 According to The United States Geological Survey (USGS), the probability that an earthquake measuring magnitude 7.5 on the Richter scale will occur in the Los Angeles area annually is 0.017. Round all results to 4 decimal places. (a) (b) (c) In USGS's prediction, one can apply the binomial distribution B(n, p) to model the number of the earthquakes in n years. Calculate the probability of an earthquake measuring magnitude 7.5 that will hit the Los Angeles area in the next 30 years. (b) Calculate the probability that no earthquake measuring 7.5 will occur in the Los Angeles area in the next 10 years. Find the probability that one or more earthquakes measuring 7.5 will strike Los Angeles area in the next 30 years. Question 2 Use the same annual probability of success p = 0.017 of earthquakes of magnitude 7.5 hitting Los Angeles as predicted by USGS in Question 1. (a) Using the Poisson Distribution, calculate the probability that at least one earthquake measuring 7.5 will occur in Los Angeles area in the next 30 years. Compare the results found in Question 2(a) against the result from Binomial Distribution in Question 1(c). Which answer is "technically" more correct?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Question 1
According to The United States Geological Survey (USGS), the probability that an earthquake
measuring magnitude 7.5 on the Richter scale will occur in the Los Angeles area annually is
0.017. Round all results to 4 decimal places.
(a)
(b)
(c)
In USGS's prediction, one can apply the binomial distribution B(n, p) to model the
number of the earthquakes in n years. Calculate the probability of an earthquake
measuring magnitude 7.5 that will hit the Los Angeles area in the next 30 years.
(b)
Calculate the probability that no earthquake measuring 7.5 will occur in the Los
Angeles area in the next 10 years.
Find the probability that one or more earthquakes measuring 7.5 will strike Los Angeles
area in the next 30 years.
Question 2
Use the same annual probability of success p = 0.017 of earthquakes of magnitude 7.5 hitting
Los Angeles as predicted by USGS in Question 1.
(a)
Using the Poisson Distribution, calculate the probability that at least one earthquake
measuring 7.5 will occur in Los Angeles area in the next 30 years.
Compare the results found in Question 2(a) against the result from Binomial
Distribution in Question 1(c). Which answer is "technically" more correct?
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