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Assume that scores on the verbal portion of the GRE (Graduate Record Exam) follow the normal distribution with mean score 151 and standard deviation 7

Assume that scores on the verbal portion of the GRE (Graduate Record Exam) follow the normal distribution with mean score 151 and standard deviation 7 points, while the quantitative portion of the exam has scores following the normal distribution with mean 153 and standard deviation 7.67. Use this information to answer the following:

a) Find the score of a student who scored in the 80th percentile on the Quantitative Reasoning section of the exam.

(please round to two decimal places)

b)Find the score of a student who scored worse than 70% of the test takers in the Verbal Reasoning section of the exam.

(please round to two decimal places)

Please show formula as well.

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