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Please clearly show all steps. Thank you! 8. Suppose the performance of a pile foundation system is governed by the pile with the smallest capacity.

Please clearly show all steps. Thank you!

8. Suppose the performance of a pile foundation system is governed by the pile with the smallest capacity. The weakest pile associated with this foundation system follows a type Ill asymptotic distribution of the smallest value with & =2 tons, a mean value of 15 tons and a coefficient of variation of 20%. Determine the probability that the weakest pile of this system will have capacity less than the design load of 10 tons

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