Find the area under the standard normal curve to the right of z=0.59

To find the area under the standard normal curve to the right of \( z = 0.59 \), we first calculate the area to the left of \( z = 0.59 \), using the cumulative distribution function (CDF) of the standard normal distribution.

1. **Find the area to the left of \( z = 0.59 \)**:
   - Using the standard normal table or a calculator, the CDF value for \( z = 0.59 \) is approximately \( 0.7224 \). This represents the area to the left of \( z = 0.59 \).

2. **Calculate the area to the right of \( z = 0.59 \)**:
   \[
   \text{Area to the right} = 1 - \text{Area to the left}
   \]
   \[
   \text{Area to the right} = 1 - 0.7224 = 0.2776
   \]

Therefore, the area under the standard normal curve to the right of \( z = 0.59 \) is approximately \( 0.2776 \).

Would you like more details or have any questions about this calculation?

Here are five related questions that can expand on this concept:
1. How do you find the area between two z-scores on a standard normal curve?
2. What is the area to the left of \( z = -0.59 \)?
3. How can the symmetry of the normal curve be used to simplify calculations?
4. What does the area under the normal curve represent in the context of probability?
5. How can the standard normal distribution be used in hypothesis testing?

**Tip:** When using the standard normal table, remember that it typically gives the area to the left of a given z-score.

Find the area under the standard normal curve to the right of z = 0.59

Discover how to calculate the area under the standard normal curve to the right of z = 0.59. This solution uses the cumulative distribution function (CDF) and explains key statistical concepts, including the properties and symmetry of the standard normal distribution. Ideal for students in Grades 10-12.

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