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A compacted subgrade is required to have a specified density of 110 pcf (pounds percubic foot). It will be acceptable if at least 4 out of 5 cored samples have at least the specified density. (a)Assuming the each cored sample has an 80% probability of meeting the requireddensity, what is the probability that the subgrade will be acceptable? (b)What should the probability of each cored sample meeting the required density be in order to have a 90% probability of an acceptable subgrade?

A compacted subgrade is required to have a specified density of 110 pcf (pounds percubic foot).  It will be

acceptable if at least 4 out of 5 cored samples have at least the

specified density.

(a)Assuming the each cored sample has an 80% probability of meeting the requireddensity, what is the probability that the subgrade will be acceptable?

(b)What should the probability of each cored sample meeting the required density be in order to have a 90% probability of an acceptable subgrade?

 
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