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Question: To help counselors identify teenagers who may become problem drinkers, a psychologist created a written test and individuals with scores above 75 on this test are flagged as potential problem drinkers. The test was administered to two groups of people: those who have problems with drinking and those who do not. The problem drinkers scored a mean of 80 with a standard deviation of 5, while the nonproblem drinkers scored a mean of 60 with a standard deviation of 10. Assuming that the test scores follow a normal distribution, what is the percentage of problem drinkers identified as not having a problem? Also, what percentage of non-problem drinkers are identified as having a problem?

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