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One of the non-destructive tests (NDTs) for assessment of the integrity of concrete structures is ultrasonic pulse velocity testing. The test can signal that a concrete section is either intact or that a problem exists. However, even when a section is intact, there is a small probability that the test equipment may signal a problem (thus generating what is known as a ‘false positive', or the probability of a concrete section actually being intact given that the equipment registers a problem.). Suppose that the probability for a "false positive" is 0.03. What is the probability that at least 1 in 10 successive sections signal a problem when in fact the sections are intact? (Note: Please assume that signals from successive sections are independent of each another.)

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