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.