Answer :
Final answer:
The percentage of values between 40 and 44 in a normal distribution with a mean of 40 and standard deviation of 4 is 34%.
Explanation:
The 68-95-99.7 rule, also known as the Empirical Rule, states that for a normal distribution, approximately 68% of the values fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.
In this case, the mean is 40 and the standard deviation is 4.
So, we need to find the percentage of values between 40 and 44, which is one standard deviation above the mean.
Since one standard deviation above the mean covers 34% of the values, the percentage of values between 40 and 44 is 34%.
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