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.