Questions: To completely specify the shape of a Normal distribution, you must give the mean and the standard deviation.

To completely specify the shape of a Normal distribution, you must give the mean and the standard deviation.
Transcript text: To completely specify the shape of a Normal distribution, you must give the mean and the standard deviation.
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Solution

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Solution Steps

To completely specify the shape of a Normal distribution, you must give the mean and the standard deviation.

Solution Approach
  • Identify the correct parameters needed to specify a Normal distribution.
Step 1: Identify the Parameters of a Normal Distribution

To completely specify the shape of a Normal distribution, you need to provide two parameters:

  1. The mean (\(\mu\))
  2. The standard deviation (\(\sigma\))
Step 2: Understand the Role of Each Parameter
  • The mean (\(\mu\)) determines the center of the distribution.
  • The standard deviation (\(\sigma\)) determines the spread or width of the distribution.

Final Answer

To completely specify the shape of a Normal distribution, you must give the mean and the standard deviation.

\[ \boxed{\text{mean and standard deviation}} \]

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