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Find the value to the right of the mean so that of the area under the distribution curve lies to the left of it. Use
The standard Normal Distribution Table and enter the answer to 2 decimal places.

Ask by Ellis Lang. in the United States
Mar 22,2025

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  1. We are given that .
  2. Consult the standard Normal Distribution table to find the value for which the cumulative area is approximately 0.6179. Looking at the table, we see that when , the cumulative probability is 0.6179.
  3. Therefore, the value is:

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Beyond the Answer

To find the value such that of the area lies to the left of it, we need to first convert that percentage into a decimal, which is . Next, we look for the corresponding value in the standard Normal Distribution Table.
The value that gives an area of approximately to the left is about (you may find slightly different values depending on the table, but they should be close).
Thus, we can conclude:

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