A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the irritation level rises with each muffled explosion. According to Dr. Brian Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 14 coughs per minute. Find the probability of at least five coughs (in a large auditorium) in a 27-second period. (Use 4 decimal places.)

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A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the irritation level rises with each muffled explosion. According to Dr. Brian Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 14 coughs per minute.

Find the probability of at least five coughs (in a large auditorium) in a 27-second period. (Use 4 decimal places.)

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