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1. (15) The UNC registrar's ofce has provided the following information regarding where UNC undergraduates are from: o 78% of them are from North Carolina,

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1. (15) The UNC registrar's ofce has provided the following information regarding where UNC undergraduates are from: o 78% of them are from North Carolina, a 12% of them are from other US states, a the rest COme from outside the US We are further told that 10% of the undergraduates from North Carolina are from the Raleigh metropolitan area, and that 80% of undergraduates from outside the US are frOm Asia. Use these gures to answer the questions below, rounding your answers to 3 decimal places when necessary: 1.1. (5) What is the probability that a randomly chosen UNC undergraduate is not from North Carolina? 1.2. (5) What is the probability that a randOmly chosen UNC undergraduate is from the Raleigh area OR from North Carolina? 1.3. (5) If I choose 4 UNC undergraduates at random, what is the probability that at least One of them is from another US state (i.e., any state except North Carolina)? Assume the population of UNC undergraduates is large enough that drawing out a single person at random doesn't affect probabilities for subsequently drawn people

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