Thousands of travelers pass through the airport in Guadalajara, Mexico, each day. Before leaving the airport, each passenger must go through the customs inspection area. Customs agents want to be sure that passengers do not bring illegal items into the country. But they do not have time to search every traveler’s luggage. Instead, they require each person to press a button. Either a red or a green bulb lights up. If the red light flashes, the passenger will be searched by customs agents. A green light 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. Here is a histogram of the probability distribution of R:

a. What probability distribution does R have? Justify your answer.

b. Describe the shape of the probability distribution.

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0.20 0.15 0.10 0.05 0.00 2 4 6 8 10 12 14 16 18 20 R = Number of passengers who get a red light Probability