[Step-by-Step] In a mathematics aptitude test the average and standard deviation of the scores obtained by the undergrad students of NY state are 70 and


Question: In a mathematics aptitude test the average and standard deviation of the scores obtained by the undergrad students of NY state are 70 and 15 respectively. Amit and Julia independently interviewed 50 randomly chosen students each to know their scores.

  1. Approximate the probability that the average score of the students interviewed by Julia exceeds 75 .
  2. What is the approximate probability that the average score for Julia exceeds that of Amit?

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