For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.

a. To the right of 2.120. (Use 3 decimals.)

To find the area to the right of a particular value in a t-distribution, you would need to use a t-table or statistical software.

For this specific case, where we have a t-distribution with 16 degrees of freedom and we want to find the area to the right of 2.120, here's how you would do it using a t-table:

1. Look up the critical value for a one-tailed test at a significance level of alpha (α) = 0.05 or 5%. In this case, since we want to find the area to the right, it is a one-tailed test.

2. Locate the row for 16 degrees of freedom in the t-table.

3. Locate the column that corresponds to the desired significance level. In this case, since α = 0.05, we will use the value in the column labeled 0.05 or 5%.

4. The value in the table represents the critical value at which the area to the right is equal to α. In this case, the critical value is 1.746.

5. Calculate the test statistic, which is the t-score, by dividing the difference between the observed value and the mean by the standard error. In this case, the observed value is 2.120 and the mean is unknown. Therefore, you need more information to calculate the t-score.

Without additional information or the mean value, the specific area to the right of 2.120 cannot be determined.