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The GRE (Graduate Record Exam) scores for both verbal and quantitative reasoning are approximately normally distributed and scaled to have mean 150 with standard deviation of 8.75. Below what score do 40% of all scores fall?Below what score do 20% of all scores fall?

Verbal Reasoning Strategy: Identify Keywords

GRE scores, Part I. Sophia who took the Graduate Record Examination (GRE) scored 160 on the Verbal Reasoning section and 157 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67 . Suppose that both distributions are nearly normal. (a) Write down the short-hand for these two normal distributions. (b) What is Sophia's