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# TP%234_f08 - 2 1 n foot in rock no foot in rock no foot in...

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CE3120 Spring 2008 Thought Problem 4 Pile Driving When driving piles for footings or foundations you want the piles to extend from the surface down to bedrock. Sometimes, however, a pile will strike rock through which it cannot be driven. Such interrupted piles can not be relied on to carry the same load as a pile driven all the way to bedrock. Find the probability that a pile will reach bedrock n feet fellow the surface without hitting a rock. The probability is p that the pile will strike rock in any foot, and the occurrence of rocks in different (non-overlapping) 1-foot intervals are independent random events. Compute the probability of making it to 10 feet and 20 feet, when p=1/20. How about 10 feet and 20 feet when p=1/10?

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