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Answer :
For this case we have the following parameters given for the rate of violent crime
[tex]\mu=406,\sigma=177[/tex]And we know that he distribution for the variable of interest is unimodal and symmetric so then we can assume that is approximately normal.
We can use the empirical rule who states that within two deviations from the mean we have 95% of the data from a normal distribution and we can calculate thge limits like this:
Lower limit
[tex]406-(2\cdot177)=52[/tex]Upper limit
[tex]406+(2\cdot177)=760[/tex]
And then the solution for this case would be:
b. 52 and 760
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