The image you've uploaded displays a normal distribution curve, with two vertical lines at z-scores $z = -0.23$ and $z = 1.96$, indicating the bounds of the shaded region under the curve. The problem is asking for the area of the shaded region, which corresponds to the probability between these two z-scores.

To find the area, follow these steps:

1. Find the cumulative probability for each z-score using the standard normal distribution table or a calculator:

   • For $z = -0.23$, the cumulative probability $P(Z \leq -0.23)$ is approximately 0.4090.
   • For $z = 1.96$, the cumulative probability $P(Z \leq 1.96)$ is approximately 0.9750.

2. Subtract the cumulative probabilities to find the area between the two z-scores: $P(-0.23 \leq Z \leq 1.96) = P(Z \leq 1.96) - P(Z \leq -0.23)$ $= 0.9750 - 0.4090 = 0.5660$

Thus, the area of the shaded region is approximately 0.5660, which represents the probability that a value falls between $z = -0.23$ and $z = 1.96$ on the standard normal distribution.

Would you like more details or have any questions on this? Here are five follow-up questions:

1. How is the z-score calculated from raw data?
2. What is the significance of the cumulative distribution function (CDF) in probability?
3. How would the area change if the z-scores were further apart?
4. How do we interpret the area under the curve in real-world scenarios?
5. What is the total area under the standard normal curve?

Tip: The total area under a normal distribution curve is always 1 (or 100%), representing the total probability of all possible outcomes.