This problem involves finding the area of the shaded region under the standard normal distribution curve, which is a bell-shaped curve with a mean of 0 and a standard deviation of 1.

The shaded region lies between two z-scores: $z = -2.36$ and $z = -1.18$.

To find the area of this shaded region, we can use the cumulative distribution function (CDF) for the standard normal distribution. The steps are as follows:

1. Find the cumulative probability for $z = -1.18$ (which gives the area to the left of this z-score).
2. Find the cumulative probability for $z = -2.36$ (which gives the area to the left of this z-score).
3. Subtract the second probability from the first to get the area between $z = -2.36$ and $z = -1.18$.

Using Standard Normal Table or Calculator:

• The cumulative probability for $z = -1.18$ is approximately $0.1190$.
• The cumulative probability for $z = -2.36$ is approximately $0.0091$.

Calculate the area:

$\text{Area} = P(z = -1.18) - P(z = -2.36) = 0.1190 - 0.0091 = 0.1099$

So, the area of the shaded region is approximately 0.1099.

Would you like more details or further clarification?

Here are 5 related questions for further study:

1. How do you calculate the z-score for a given data point?
2. What is the significance of the area under the normal curve in probability theory?
3. How can you calculate areas for non-standard normal distributions?
4. What is the difference between the z-distribution and t-distribution?
5. How is the standard normal distribution used in hypothesis testing?

Tip: When using a standard normal table, remember that it gives the cumulative probability from the far left of the curve up to the specified z-score.