Using the Empirical Rule, it is found that there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.
What is the Empirical Rule?
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, the mean height of 76 inches and a standard deviation of 4.7 inches, hence 71.4 and 80.7 inches is within 1 standard deviation of the mean, that is, there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.
To learn more about the Empirical Rule, you can take a look at https://brainly.com/question/24537145
