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12. a) If scores on a certain medical test are normally distributed with mean 50 and...

12. a) If scores on a certain medical test are normally distributed with mean 50 and standard deviation 5, what score (or lower) would place a score in the bottom 10% of scores?

b) If scores on a certain medical test are normally distributed with mean 50 and standard deviation 5, and if 30 of these medical test scores are selected at random and the average score is computed, what is the probability that this average score will be greater than 52?

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