In​ 2007, the mean rate of violent crime​ (per 100,000​ people) for 10 regions in the northeast of a certain country was 319.The standard deviation was 126. Assume that the distribution of violent crime rates is unimodal and symmetric.  a. Using the Empirical​ Rule, between what two values would you expect to find about​ 95% of the​ rates?   Approximately​ 95% of the observations fall within the interval:

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In​ 2007, the mean rate of violent crime​ (per 100,000​ people) for 10 regions in the northeast of a certain country was 319.The standard deviation was
126. Assume that the distribution of violent crime rates is unimodal and symmetric. 
a. Using the Empirical​ Rule, between what two values would you expect to find about​ 95% of the​ rates?
 
Approximately​ 95% of the observations fall within the interval:
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Solution:

Let X be the violent crime rate.

From the given information, X follows normal distribution with mean µ=319 and a standard deviation is σ=126.

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