Piles are used to support the foundation of a structure. The failure probability of a pile during

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Piles are used to support the foundation of a structure. The failure probability of a pile during proof testing is 0.1. Determine the following:

a. The probability of 3 failed piles out of 10 tested piles

b. The probability of no failures in 20 tested piles

c. The probability of 10 tested piles to obtain the first failure

d. The probability of three consecutive pile failures

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