To solve this problem, you are asked to find the probability for a standard normal distribution where:

$P(z > 0.07)$

Steps to solve:

1. Standard Normal Distribution: This refers to a normal distribution with a mean of 0 and a standard deviation of 1.

2. Find the z-value: The z-value here is 0.07. We need to calculate the probability that $z > 0.07$.

3. Use the z-table or a calculator: A z-table provides the probability that $z$ is less than a particular value. To get $P(z > 0.07)$, we first find $P(z < 0.07)$ from the z-table, then subtract that value from 1.

4. Look up $P(z < 0.07)$ in the standard normal table. For $z = 0.07$, the value is approximately 0.5279.

5. Calculate $P(z > 0.07)$: $P(z > 0.07) = 1 - P(z < 0.07) = 1 - 0.5279 = 0.4721$

So, the probability $P(z > 0.07)$ is approximately 0.4721 when rounded to 4 decimal places.

Would you like further details or have any questions?

Related Questions:

1. What is the probability for $P(z > 1.5)$?
2. How do you calculate $P(z < -0.5)$ in a standard normal distribution?
3. What does a negative z-value represent in a standard normal distribution?
4. How would you find $P(z > 2.5)$?
5. Can you explain why the total area under a standard normal curve is 1?

Tip: When solving problems with a standard normal distribution, always remember that the total probability adds up to 1, and use symmetry of the curve when calculating probabilities for negative z-values.