Suppose that on average two tornados occur in 10 years in a county in Oklahoma. Further assume that the tornado-generated wind speed can be modeled by a lognormal 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 tornados can occur next year)
Suppose that on average two tornados occur in 10 years in a county in Oklahoma. Further assume that the
tornado-generated wind speed can be modeled by a lognormal 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 tornados can occur next year)