Temperatures in Decatur in December follow a normal model with a mean of 32.5 degrees and a standard deviation of 10.1 degrees. What percent of the time will the temperatures December be less than 23.2 degrees?

17.9%

Step-by-step explanation:

We have been given that temperatures in Decatur in December follow a normal model with a mean of 32.5 degrees and a standard deviation of 10.1 degrees. We are asked to find the percentage of the time when temperatures in December be less than 23.2 degrees.

First of all, we will find z-score corresponding to 23.2 degrees as:

Now, we will use normal distribution table to find area under a z-score of as:

Let us convert into percentage as:

Therefore, approximately 17.9% of the time the temperatures in December will be less than 23.2 degrees.