Claims Probability 1 2 3 4 5 U 0.2 0.2 0.1 0.25 0.25 Find the percentage of claims within one standard deviation of the mean. %

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Probability Distribution of Claim Sizes**

A probability distribution of the claim sizes for an auto insurance policy appears in the following table:

| Claims | Probability |
|--------|-------------|
| 1      | 0.2         |
| 2      | 0.2         |
| 3      | 0.1         |
| 4      | 0.25        |
| 5      | 0.25        |

**Task:**

Find the percentage of claims within one standard deviation of the mean. [Input box: ___ %]

**Support:**
- For assistance, click on "Message Instructor."
- Use the "Add Work" feature to support your calculations.

This table provides a basis for understanding how frequently certain claim amounts occur, aiding in statistical analysis for risk assessment.
Transcribed Image Text:**Probability Distribution of Claim Sizes** A probability distribution of the claim sizes for an auto insurance policy appears in the following table: | Claims | Probability | |--------|-------------| | 1 | 0.2 | | 2 | 0.2 | | 3 | 0.1 | | 4 | 0.25 | | 5 | 0.25 | **Task:** Find the percentage of claims within one standard deviation of the mean. [Input box: ___ %] **Support:** - For assistance, click on "Message Instructor." - Use the "Add Work" feature to support your calculations. This table provides a basis for understanding how frequently certain claim amounts occur, aiding in statistical analysis for risk assessment.
Expert Solution
Step 1

Given that 

Claims      Probability 

1                 0.2

2                 0.2

3                 0.1

4                 0.25 

5                 0.25 

we have to find the percentage of claims within one standard deviation of mean :

 

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