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When finding probabilities for a normal distribution (less than, greater than, or in between), you need to be able to write probability notations. Practice these skills by writing probability notations for the following problems.

Sample questions

  1. Write the probability notation for the area shaded in this Z-distribution.

    image0.pngimage1.jpg

    Answer:

    image2.png

    Looking at the graph, you see that the shaded area represents the probability of all z-values of 2 or less. The probability notation for this is

    image3.png
  2. Write the probability notation for the area shaded in this Z-distribution.

    image4.pngimage5.jpg

    Answer:

    image6.png

    Looking at the graph, you see that the shaded area represents the probability that Z is between 0 and 2, expressed as

    image7.png
  3. Write the probability notation for the area shaded in this Z-distribution.

    image8.pngimage9.jpg

    Answer:

    image10.png

    Looking at the graph, you see that the shaded area represents the probability of a z-value of –2 or higher, expressed as

    image11.png

If you need more practice on this and other topics from your statistics course, visit 1,001 Statistics Practice Problems For Dummies to purchase online access to 1,001 statistics practice problems! We can help you track your performance, see where you need to study, and create customized problem sets to master your stats skills.

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