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Of all the registered automobiles in a city, 12% fail the emissions test. Fourteen automobiles are...

Of all the registered automobiles in a city, 12% fail the emissions test. Fourteen automobiles are selected at random to undergo an emissions test. Round the answers to four decimal places.

(a) Find the probability that exactly three of them fail the test.

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

(c) Find the probability that more than two of them fail the test.

(d) Would it be unusual for none of them to fail the test?

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