Question

Blood potassium levels in adult humans are approximately normally distributed with a mean of 4.2 mmol/L and a standard deviation of 0.3 mmol/L. According to the Empirical Rule, what percent of adult humans have potassium levels between 3.9 and 4.2 mmol/L?

Answer 1

According to the Empirical Rule, approximately 68% of adult humans have potassium levels between 3.9 and 4.2 mmol/L.

Step-by-step explanation:

The Empirical Rule, also known as the 68-95-99.7 rule, states that in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Since the blood potassium levels in adult humans are normally distributed with a mean of 4.2 mmol/L and a standard deviation of 0.3 mmol/L, we can use the Empirical Rule to determine the percentage of adult humans with potassium levels between 3.9 and 4.2 mmol/L.

Since this range is within one standard deviation of the mean (4.2 - 0.3 = 3.9), approximately 68% of adult humans have potassium levels between 3.9 and 4.2 mmol/L.