Q4 For the tornado events in a certain region, the tornado-induced wind speed can be modeled by a lognormal random variable with a mean value of µx = 120 mph and a standard deviation of ox = 12 mph. a) Calculate the probability that the wind speed will be between 100 mph and 130 mph in a tornado event. b) If a structure located in this region is designed to resist for wind speed of 150 mph, what is the probability that the structure will be damaged during such a tornado?

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Q4
For the tornado events in a certain region, the tornado-induced wind speed can be modeled by a
lognormal random variable with a mean value of ux = 120 mph and a standard deviation of ox = 12 mph.
a) Calculate the probability that the wind speed will be between 100 mph and 130 mph in a tornado event.
b) If a structure located in this region is designed to resist for wind speed of 150 mph, what is the probability
that the structure will be damaged during such a tornado?
Transcribed Image Text:Q4 For the tornado events in a certain region, the tornado-induced wind speed can be modeled by a lognormal random variable with a mean value of ux = 120 mph and a standard deviation of ox = 12 mph. a) Calculate the probability that the wind speed will be between 100 mph and 130 mph in a tornado event. b) If a structure located in this region is designed to resist for wind speed of 150 mph, what is the probability that the structure will be damaged during such a tornado?
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