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On average, 3 percent of all persons who are given a breathalyzer test by the state police pass the test (blood alcohol under 0.08 percent). Suppose that 400 breathalyzer tests are given.

(a) What is the expected number who pass the test? (Round your answer to the nearest whole number.)  

Expected number    12

(b) What is the approximate Poisson probability that 5 or fewer will pass the test? (Round your answer to 4 decimal places.)

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