Checkpoint: The Empirical Rule (for Normal Distributions) Solutions

The technology supervisor at Fair View High School determined that teachers receive μ=11, σ=2 emails each day.

  1. Sketch and label the normal distribution for emails received.
Image24
  1. How likely is it that less than or equal to 13 emails are received daily?

50%+34%=84%

  1. What interval represents 95% of the population?

[7, 15]

Note

Q: What is the likelihood that a teacher receives more than 11 emails per day?

A: 50%

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