The magnitude of a load acting on a structure can be modeled by a normal distrib
ID: 3205087 • Letter: T
Question
The magnitude of a load acting on a structure can be modeled by a normal distribution with a mean of 100 kip and a standard deviation of 20 kip. If the design load is considered to be the 90^th percentile value, determine the design load. If the design load is considered to be the mean + 2 standard deviation value, what is the probability that it will be exceeded? A load of magnitude less than zero is physically illogical: calculate its probability. Is a: normal distribution appropriate to model the load?Explanation / Answer
Mean=100, SD=2
a)90th Percentile=100+1.2815*20=125.631
b)P(Z>2)=0.02275
c)P(x<0)=P(Z<-5)=2.86x10^-7
Hence it is not logical to even expect that probability
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