Obtain the following probability for the standard normal distribution.
Round your answer to four decimal places.
𝑃(𝑧 > 1.15) =

To find \( P(z > 1.15) \) for a standard normal distribution, we need to find the probability that the standard normal variable \( z \) is greater than 1.15.

### Steps:
1. Use a standard normal distribution table or calculator to find the cumulative probability \( P(z \leq 1.15) \).
2. Subtract that value from 1 to get \( P(z > 1.15) \).

From the standard normal table:
- \( P(z \leq 1.15) \approx 0.8749 \)

Now, subtract this from 1:
\[
P(z > 1.15) = 1 - P(z \leq 1.15) = 1 - 0.8749 = 0.1251
\]

So, \( P(z > 1.15) = 0.1251 \).

Would you like more details or have any questions?

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Here are 5 related questions you might explore:
1. What is \( P(z < 1.15) \)?
2. How would you calculate \( P(z > -1.15) \)?
3. What is \( P(0 < z < 1.15) \)?
4. How do you interpret a z-score of 1.15 in terms of probability?
5. How would \( P(z > 1.15) \) change for a non-standard normal distribution?

**Tip**: When using a standard normal table, remember that the values represent the cumulative probability from the far left up to the z-score you’re interested in.

Obtain the following probability for the standard normal distribution. Round your answer to four decimal places. 𝑃(𝑧 > 1.15) =

Learn how to calculate the probability P(z > 1.15) using a standard normal distribution. This solution explains the use of the cumulative distribution function and provides a step-by-step guide. Suitable for high school students in Grades 10-12.

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