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2000 students took a test. The scores were normally distributed with a mean of 70 and a standard deviation of 5. What percentage of grades

2000 students took a test. The scores were normally distributed with a mean of 70 and a standard deviation of 5.

  1. What percentage of grades are between 65 and 80?
  2. What percentage of grades are below 60?
  3. Approximately, how many students scored more than a 75?
  4. Approximately, how many students scored between 65 and 70?
  5. If your test grade is 80, what is your Z score?
  6. If your test grade is 68, what is your Z score?

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