A bridge construction site requires load testing of piles on site to check if the pile can take the maximum load. From the past experience it is known that there is 10% chance that a pile will fail under the maximum load. Assuming the pile tests are independent events and 10 piles are tested, what is the probability that: (a) exactly 3 piles will fail? (b) less than 3 piles will fail?

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter18: Pile Foundation
Section: Chapter Questions
Problem 18.6P
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A bridge construction site requires load testing of piles on site to check if the pile can take the maximum load. From the past experience it is known that there is 10% chance that a pile will fail under the maximum load. Assuming the pile tests are independent events and 10 piles are tested, what is the probability that: (a) exactly 3 piles will fail? (b) less than 3 piles will fail?
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