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From the images you uploaded, it seems you need help with a question about the unusualness of an income value in a normally distributed dataset. The task is to determine whether it would be unusual for an individual to have an income of less than $37, and to calculate the probability associated with this condition.

Given the standard deviation and mean, we could use the Z-score formula to calculate how many standard deviations $37 is away from the mean. However, these values are not provided in the image.

The rule of thumb in statistics is that anything falling outside of the mean ± 2 standard deviations (which covers about 95% of the data under a normal distribution) is considered unusual. Therefore, if the probability of having an income less than $37 is less than 5% (0.05), it would indeed be unusual.

Please provide the mean and standard deviation, or any additional details you might have about the distribution, so I can help you calculate the exact probability.

Do you want more details or have any questions on this?

Here are five related questions that expand on this information:
1. How do you calculate the mean and standard deviation if you only have raw data?
2. What does a Z-score tell us in a normal distribution?
3. Why is 95% considered in determining whether an event is unusual in a normal distribution?
4. How does changing the mean or standard deviation affect the shape and spread of a normal distribution?
5. What are some practical implications of determining unusual events in a dataset?

Tip: Always check the distribution of your data to ensure that the assumption of normality is valid, as this can significantly impact your statistical analyses and conclusions.

Do you think it would be unusual for an individual to have an income of less than 37? Assume the variable is normally distributed. Round the answer to at least four decimal places.

Learn how to calculate whether an income of less than 37 is unusual using normal distribution principles. This problem covers Z-scores, probabilities, and standard deviation for normally distributed data. Suitable for advanced high school and college statistics students.

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