Find the area under the normal curve to the right of z=2.35
 

To find the area under the normal curve to the right of \( z = 2.35 \), we follow these steps:

1. **Identify the cumulative probability for \( z = 2.35 \) using standard normal distribution tables or a calculator.**
   - The cumulative probability for \( z = 2.35 \) is the probability that a value is less than or equal to 2.35 standard deviations above the mean.

2. **Look up the cumulative probability:**
   - Using the standard normal distribution table, the cumulative probability for \( z = 2.35 \) is approximately 0.9906.

3. **Calculate the area to the right of \( z = 2.35 \):**
   \[
   P(Z > 2.35) = 1 - P(Z \leq 2.35)
   \]
   \[
   P(Z > 2.35) = 1 - 0.9906 = 0.0094
   \]

Therefore, the area under the normal curve to the right of \( z = 2.35 \) is approximately \( 0.0094 \) or 0.94%.

Would you like more details or have any questions?

Here are 5 related questions you might want to ask next:
1. How do you find cumulative probabilities using the standard normal distribution table?
2. What is the relationship between z-scores and standard deviations?
3. How do you calculate the area to the left of a given z-score?
4. What are the steps to convert a raw score to a z-score?
5. How do you interpret areas under the normal curve in practical terms?

**Tip:** When finding areas under the normal curve, it can be helpful to sketch the curve and shade the area of interest to visualize the problem better.

Learn how to find the area under the normal curve to the right of z=2.35 with a step-by-step solution. This problem involves calculating cumulative probabilities using the standard normal distribution table and formula. Suitable for college-level students and those interested in statistics.

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