The image you uploaded depicts a normal distribution with a mean of 76.5 points and a standard deviation of 5.2 points. Based on the description, it seems you're asked to identify values for $U$, $V$, and $W$ based on the empirical rule and determine the shaded area under the curve.

Key points from the description:

1. The mean of the distribution is 76.5, and the standard deviation is 5.2.
2. $V$ is the value on the axis at the peak of the curve (the mean).
3. $U$ and $W$ are each the same distance from $V$ along the axis.

Using the empirical rule (also known as the 68-95-99.7 rule):

• Approximately 68% of the data falls within one standard deviation of the mean.
• Approximately 95% falls within two standard deviations.
• Approximately 99.7% falls within three standard deviations.

To find the specific values of $U$, $V$, and $W$:

• $V$ is the mean: 76.5.
• $U$ and $W$ are one or more standard deviations away from $V$.

Would you like to proceed with the exact calculations, including the shaded area?