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 \(\boxed{16\%}\).