Michael, a highway safety inspector, is concerned about the potential for accidents caused by boulders that fall down a sandstone cliff beside a main highway. As part of an accident simulator, Michael models the boulders' weights using a normal distribution with a mean of 562 kg and a standard deviation of 100 kg. Use this table or the ALEKS calculator to find the percentage of boulders that weigh between 406 kg and 530 kg according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
 or the ALEKS calculator to find the percentage of boulders that weigh between 406 kg and 530 kg according to the model.
2. For your intermediate computations, use four or more decimal places.
3. Give your final answer to two decimal places (for example, 98.23%) in the provided input box.
### Calculation Section
- Input Box:
- \[ \_\_\_ \]% (to be filled by the student)
- Buttons:
- \[ x \] button (calculate)
- \[ ↻ \] button (reset)
- \[ ? \] button (help/information)
By following these guidelines, learners will be able to accurately calculate the percentage of boulders falling within the specified weight range using the tools provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd290e29f-bf0a-4e13-893a-d0d06da948d8%2F7ad5bbe9-ef47-420f-8bb2-40483aaf5dad%2Fm2uf9sh_processed.jpeg&w=3840&q=75)
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