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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) =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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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