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Thousands of travelers pass through the airport in Guadalajara, Mexico, each day. Mexican customs agents want to be sure that passengers do not bring in

Thousands of travelers pass through the airport in Guadalajara, Mexico, each day. Mexican customs agents want to be sure that passengers do not bring in illegal items, but do not have time to search every traveler's luggage. Instead, customs requires each person to press a button. Either a red or a green bulb lights up. If red, the passenger will be searched by customs agents. Green means "go ahead." Customs agents claim that the light has probability 0.30 of showing red on any push of the button. Assume for now that this claim is true. Suppose we watch 20 passengers press the button. Let R = the number who get a red light.

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