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A final examination at Podunk University is constructed so that the test scores are approximately normally distributed, with parameters <math>\mu</math> and <math>\sigma</math>. The instructor assigns letter grades to the test scores as shown | |||
in [[#table 5.9 |Table]] (this is the process of “grading on the curve”). | |||
that the test scores are approximately normally distributed, with parameters <math>\mu</math> and | |||
<math>\sigma</math>. The instructor assigns letter grades to the test scores as shown | |||
in [[ | |||
<span id="table 5.9"/> | <span id="table 5.9"/> | ||
{|class="table" | {|class="table" | ||
Latest revision as of 01:09, 14 June 2024
A final examination at Podunk University is constructed so that the test scores are approximately normally distributed, with parameters [math]\mu[/math] and [math]\sigma[/math]. The instructor assigns letter grades to the test scores as shown in Table (this is the process of “grading on the curve”).
| Test Score | Letter grade |
| [math]\mu + \sigma \lt x[/math] | A |
| [math]\mu \lt x \lt \mu + \sigma[/math] | B |
| [math]\mu - \sigma \lt x \lt \mu [/math] | C |
| [math]\mu - 2\sigma \lt x \lt \mu - \sigma[/math] | D |
| [math]x \lt \mu - 2\sigma[/math] | F |
What fraction of the class gets A, B, C, D, F?