Class Test Scores

Discrete Mathematics Level pending

Suppose you have a class of school children.

For the boys, the average test grade is 81 points with a standard deviation of 3 points. For the girls, the average test grade is 86 points with a standard deviation of 4 points.

What is the probability, in percent, that a randomly selected girl in your class has a higher test grade than a randomly selected boy in your class? Round your answer to the nearest percent.

Assumptions:

  • The test scores are Normally distributed.
  • The event of picking a girl is independent from picking a boy.
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