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The settlement of two adjacent footings follows a normal distribution with a mean of 5 and...

The settlement of two adjacent footings follows a normal distribution with a mean of 5 and a coefficient of variation of .6 . Suppose the settlements between the two adjacent footings are correlated with a correlation coefficient of .4 . Assume that the differential settlement between footings is given by D=|S1-S2| where S1 and S2 are the settlements of footing 1 and 2 respectively. What is the probability that the differential settlement |D| will be less than .5 inches?

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