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A concrete footing can fail due to excessive settlement. Due to soil variation the settlement is log- normally distributed with mean value =1.5 cm and

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A concrete footing can fail due to excessive settlement. Due to soil variation the settlement is log- normally distributed with mean value =1.5 cm and standard deviation =0.3 cm. The footing fails when the settlement is > 2.5 cm. (i) Calculate the probability that the footing will fail. (ii) If the foundation system of a multistory building consists of 30 such footing, calculate the probability that none of the footing will fail

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