Final answer:
To find the value of Z such that 0.13 of the area lies to the right of Z, subtract the area to the left from 1. Using the Z-table, find the Z-score corresponding to the area to the left. This Z-score will be the value of Z.
Step-by-step explanation:
To find the value of Z such that 0.13 of the area lies to the right of Z, we can use the Z-table. The Z-table shows the area to the left of a given Z-score.
Let's subtract the area to the left from 1 to find the area to the right. The area to the left of Z is 1 - 0.13 = 0.87.
Using the Z-table, we can find that the Z-score corresponding to an area of 0.87 is approximately 1.18.