Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table, Click to view page 2 of the table. 85 The area of the shaded region is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Problem Description:**

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

**Resources:**

- [Click to view page 1 of the table.](#)
- [Click to view page 2 of the table.](#)

**Task:**

The area of the shaded region is [_____] (Round to four decimal places as needed.)

**Instructions:**

Enter your answer in the answer box and then click the "Check Answer" button.

**Diagram Description:**

- A bell curve is shown on the right, representing a normal distribution.
- The bell curve has a peak at the mean score of 100.
- There is a shaded region on the left side of the mean, representing IQ scores less than 85.
- The shaded area signifies the probability of selecting an adult with an IQ less than 85.

Ensure you use the appropriate statistical methods to find the area of this region, using the standard normal distribution and z-scores if necessary.

---
Transcribed Image Text:Sure! Here's a transcription suitable for an educational website: --- **Problem Description:** Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. **Resources:** - [Click to view page 1 of the table.](#) - [Click to view page 2 of the table.](#) **Task:** The area of the shaded region is [_____] (Round to four decimal places as needed.) **Instructions:** Enter your answer in the answer box and then click the "Check Answer" button. **Diagram Description:** - A bell curve is shown on the right, representing a normal distribution. - The bell curve has a peak at the mean score of 100. - There is a shaded region on the left side of the mean, representing IQ scores less than 85. - The shaded area signifies the probability of selecting an adult with an IQ less than 85. Ensure you use the appropriate statistical methods to find the area of this region, using the standard normal distribution and z-scores if necessary. ---
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