Suppose that on an average two tornadoes occur in 10 years in a county in Oklahoma. Further assume that the tornado-generated wind speed can be modeled by a log-normal random variable with a mean of 120 mph and a standard deviation of 12 mph. (a) What is the probability that there will be at least one tornado next year? (b) If a structure in the county is designed for wind speed of 150 mph, what is the probability that the structure will be damaged during such a tornado? (c) What is the probability that the structure will be damaged by tornado next year? (Hint: consider that any number of tornadoes can occur next year)

Suppose that on an average two tornadoes occur in 10 years in a county in Oklahoma. Further assume that the tornado-generated wind speed can be modeled by a log-normal random variable with a mean of 120 mph and a standard deviation of 12 mph. (a) What is the probability that there will be at least one tornado next year? (b) If a structure in the county is designed for wind speed of 150 mph, what is the probability that the structure will be damaged during such a tornado? (c) What is the probability that the structure will be damaged by tornado next year? (Hint: consider that any number of tornadoes can occur next year)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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