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A particular fast food restaurant is located near a University. 40% of the customers are students. Students prefer the spicier items. For example, a student customer will ask for extra hot sauce 75% of the time whereas a non-student will ask for extra hot sauce only 30% of the time. While waiting in line you observe a customer ask for extra hot sauce. What is the probability that this customer is not a student? The manager claims that about half the customers ask for extra hot sauce. Do you agree?

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