Question: A foundation engineer estimates that the settlement of a proposed structure will not exceed 2 in. with 95% probability. From a record of performance of

A foundation engineer estimates that the settlement of a proposed structure will not exceed 2 in. with 95% probability. From a record of performance of many similar structures built on similar soil conditions, he finds that the coefficient of variation of the settlement is about 20%. If a normal distribution is assumed for the settlement of the proposed structure, what is the probability that the proposed structure will settle more than 2.5 in

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