In the image you uploaded, the distribution of $X$ is given as:

$X \sim N(-67.5, 22.4)$

This notation describes a Normal Distribution with a mean $\mu = -67.5$ and a standard deviation $\sigma = 22.4$.

The image shows that the first part is asking for the kind of distribution, and the correct selection of Normal Distribution has already been made. In the second part, the mean $\mu$ has been correctly filled in as $-67.5$.

Now, for the standard deviation $\sigma$, the correct value from the distribution is 22.4, which you can enter into the provided field.

Would you like further explanation about the normal distribution, or any additional details on the solution?

Here are 5 relative questions to deepen your understanding:

1. How is the normal distribution different from the standard normal distribution?
2. What role do the mean and standard deviation play in the shape of a normal distribution curve?
3. How would you calculate probabilities from this normal distribution using a z-score?
4. What is the empirical rule (68-95-99.7 rule) for normal distributions, and how does it apply here?
5. How can you use this distribution to make real-world predictions?

Tip: When you encounter a normal distribution, the mean represents the center of the data, and the standard deviation gives you a sense of the spread.