### Understanding Normal Distribution in Hate Crime Data#### Concept of Normal DistributionIf the distribution of hate crimes was normally distributed, we would expect 68 percent of the data points to be within 1 standard deviation of the mean.#### Exercises:**6. Data Points Within One Standard Deviation**- **Question**: What percent of your 12 data points fall within \( \mu - \sigma \) to \( \mu + \sigma \) (1 standard deviation on both sides of your mean)?- **Task**: Count how many of the 12 data points fall within these two values, then divide by 12.- **Answer Format**: Provide your answer as a percent.**7. Calculating Two Standard Deviations Below the Mean**- **Formula**: Calculate \( \mu - 2\sigma \) (the mean minus 2 times the standard deviation).**8. Calculating Two Standard Deviations Above the Mean**- **Formula**: Calculate \( \mu + 2\sigma \) (the mean plus 2 times the standard deviation).#### Further Insight on Normal Distribution:If the distribution of hate crimes was normally distributed, we would expect 95 percent of the data points to be within 2 standard deviations of the mean.**9. Data Points Within Two Standard Deviations**- **Question**: What percent of your 12 data points fall within \( \mu - 2\sigma \) to \( \mu + 2\sigma \) (2 standard deviations on both sides of your mean)?- **Answer Format**: Provide your answer as a percent.

As per empirical Rule 68% falls within the 1 standard deviation from the mean. 95% fall within 2…

If the distribution of hate crimes was normally distributed, we would expect 68 percent of the data points to be within 1 standard deviations of the mean? 6. What percent of your 12 data points fall within u SD on both sides of your mean)? You will need to count how many of the 12 data o to u +o (In other words 1 points fall within these two values, then divide by 12. % Give answer as a percent. 7. Get u 20 (The mean - 2* the standard deviation: Two SD below the mean) 8. Get u + 20 (the mean + 2* the standard deviation: Two SD above the mean) the distribution of hate crimes was normally distributed, we would expect 95 percent of the data points to be within 2 standard deviations of the mean? 9. What percent of your 12 data points fall within u 2σ to μ 2σ ( In other words % Give answer as a 2 SD on both sides of your mean)? percent.

If the distribution of hate crimes was normally distributed, we would expect 68 percent of the data points to be within 1 standard deviations of the mean? 6. What percent of your 12 data points fall within u SD on both sides of your mean)? You will need to count how many of the 12 data o to u +o (In other words 1 points fall within these two values, then divide by 12. % Give answer as a percent. 7. Get u 20 (The mean - 2* the standard deviation: Two SD below the mean) 8. Get u + 20 (the mean + 2* the standard deviation: Two SD above the mean) the distribution of hate crimes was normally distributed, we would expect 95 percent of the data points to be within 2 standard deviations of the mean? 9. What percent of your 12 data points fall within u 2σ to μ 2σ ( In other words % Give answer as a 2 SD on both sides of your mean)? percent.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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