(a) A structure consists of 100 column footings. Suppose the settlement of each footing is exponentially distributed with a mean of 2 inches and the settlements between footings are statistically independent. What is the probability that the maximum settlement Smax among the 100 footings will not exceed 5.0 inches? Compare this exact probability with the answer obtained assuming an appropriate asymptotic distribution for Smax b. What is the probability that the minimum settlement Smax is at least 0.5 inches? c. Determine the mean and coefficient of variation of the maximum differential settlement delta(max) defined as (Smax-Smin)

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