After collecting the data, Tammy finds that the total snowfall per year in Linndale is normally distributed with mean 99 inches and standard deviation 13 inches. What is the probability that in a randomly selected year, the snowfall was greater than 112 inches? Use the empirical rule.
- Provide the final answer as a percent.

Provide your answer below:

Step 1 ：Given that the total snowfall per year in Linndale is normally distributed with a mean of 99 inches and a standard deviation of 13 inches.

Step 2 ：We are asked to find the probability that in a randomly selected year, the snowfall was greater than 112 inches.

Step 3 ：This is equivalent to finding the proportion of data that falls more than 1 standard deviation above the mean, since \(112 - 99 = 13\), which is one standard deviation.

Step 4 ：According to the empirical rule, also known as the 68-95-99.7 rule, 68% of data falls within one standard deviation of the mean. This means that 32% of data falls outside this range.

Step 5 ：Since the normal distribution is symmetric, we can divide this percentage in half to find the proportion of data that falls more than one standard deviation above the mean.

Step 6 ：So, the probability that the snowfall was greater than 112 inches is 16%.

Step 7 ：Final Answer: The probability that in a randomly selected year, the snowfall was greater than 112 inches is approximately \(\boxed{16\%}\).