Final answer:
Approximately 95% of the values lie within two standard deviations of the mean in a normal distribution.
Since the range from 2 to 6 constitutes two standard deviations from the mean of 4 in this scenario, about 95% of the values would fall in this range.
Step-by-step explanation:
To find what percent of values from a normal distribution with a mean (μ) of 4 and a standard deviation (σ) of 1 are between 2 and 6, we use the Empirical Rule, which is very helpful for normal distributions.
The rule states that approximately 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this case, the range from 2 to 6 is two standard deviations from the mean (2 = 4 - 2σ and 6 = 4 + 2σ).
Thus, according to the Empirical Rule, approximately 95% of the values lie within two standard deviations of the mean, which is the range we are interested in.