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An article in Soil Dynamics and Earthquake Engineering 2008, 28.10 evaluated the vulnerability of buildings in Barcelona, Spain to earthquakes. For instance, they estimate that the probability of a high-rise, unreinforced masonry building located in zone Il of Barcelona has a moderate or severe damage is approximately 0.46. Assume that a dozen high-rise, unreinforced masonry buildings located in zone II of Barcelona respond independently. Let the random variable X denote the number of these buidings that have moderate of severe damage. (a) Determine the probability that all 12 buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X = 12) = (b) Determine the probability that at least ten of these buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X ≥ 10) = (c) Determine the probability that fewer than two or more than ten of these buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X<2orX > 10) =

An article in Soil Dynamics and Earthquake Engineering 2008, 28.10 evaluated the vulnerability of buildings in Barcelona, Spain to earthquakes. For instance, they estimate that the probability of a high-rise, unreinforced masonry building located in zone Il of Barcelona has a moderate or severe damage is approximately 0.46. Assume that a dozen high-rise, unreinforced masonry buildings located in zone II of Barcelona respond independently. Let the random variable X denote the number of these buidings that have moderate of severe damage. (a) Determine the probability that all 12 buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X = 12) = (b) Determine the probability that at least ten of these buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X ≥ 10) = (c) Determine the probability that fewer than two or more than ten of these buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X<2orX > 10) =

MATLAB: An Introduction with Applications
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 Soil Dynamics and Earthquake Engineering 2008, 28.10 evaluated the vulnerability of buildings in Barcelona, Spain to earthquakes. For instance, they estimate that the probability of a high-rise, unreinforced masonry building located in zone Il of Barcelona has a moderate or severe damage is approximately 0.46. Assume that a dozen high-rise, unreinforced masonry buildings located in zone II of Barcelona respond independently. Let the random variable X denote the number of these buidings that have moderate of severe damage. (a) Determine the probability that all 12 buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X = 12) = 1 (b) Determine the probability that at least ten of these buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X> 10) = (c) Determine the probability that fewer than two or more than ten of these buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X<2orX > 10) = i
Transcribed Image Text:An article in Soil Dynamics and Earthquake Engineering 2008, 28.10 evaluated the vulnerability of buildings in Barcelona, Spain to earthquakes. For instance, they estimate that the probability of a high-rise, unreinforced masonry building located in zone Il of Barcelona has a moderate or severe damage is approximately 0.46. Assume that a dozen high-rise, unreinforced masonry buildings located in zone II of Barcelona respond independently. Let the random variable X denote the number of these buidings that have moderate of severe damage. (a) Determine the probability that all 12 buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X = 12) = 1 (b) Determine the probability that at least ten of these buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X> 10) = (c) Determine the probability that fewer than two or more than ten of these buildings have moderate or severe damage. Round your answer to six decimal places (e.g. 0.987654). P(X<2orX > 10) = i
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