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Car inspection: Of all the registered automobiles in Colorado, 5% fail the state emissions test. Eleven automobiles are selected at random to undergo an emissions

Car inspection: Of all the registered automobiles in Colorado, 5% fail the state emissions test. Eleven automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places.

(b) Find the probability that fewer than three of them fail the test.

The probability that fewer than three of them fail the test is

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