A large group of students took a test in Statistics and the final grades have a mean of 75 and a standard deviation of 20. If we can approximate the distribution of these grades by a normal distribution, what percent of the students a) scored between 50 and 90? b) scored higher than 90? c) should pass the test (grades≥50)? d) should fail the test (grades<50)?

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A large group of students took a test in Statistics and the final grades have a mean of 75 and a standard deviation of 20. If we can approximate the distribution of these grades by a normal distribution, what percent of the students

  1. a) scored between 50 and 90?
  2. b) scored higher than 90?
    c) should pass the test (grades≥50)?
    d) should fail the test (grades<50)?
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