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Algebra 2 · Chapter 13 · Lesson 13.5 · Printable PDF

The Standard Normal Distribution Worksheet with Answer Key

6 problems on the standard normal distribution: areas to four decimal places, z values for percentiles, shaded regions on the curve, tables that list area from 0, finding Layla's mistake, and a middle region of area one half. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
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What's on the worksheet

  1. Find each area under the standard normal curve, to four decimal places.
    P(Z < 1.43)P(Z < -0.82)P(Z > 2.14)P(Z \geq -1.36)P(-1.72 < Z < 0.46)
  2. Find the z value for each percentile.
    the 65th percentile of Zthe 30th percentile of Zthe number c with P(-c < Z < c) = 0.60
  3. Find the areas of the two shaded regions in the figure.
  4. Convert between a table that lists area from 0 and one that lists area to the left.
  5. Find Layla's mistake in finding an area between two z values.
  6. Find a number a for which the area between a and 1.10 is one half.

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The standard normal distribution: the lesson ›

More Chapter 13 worksheets: The normal distribution and introductory inference