To calculate the probability $P(z \leq -0.79)$ using the standard normal distribution, we need to refer to the Z-table or use a calculator that computes values for the standard normal distribution.

The Z-table gives the cumulative probability from the far left of the distribution up to a given z-value. A negative z-value represents a point on the left side of the mean (which is 0 in a standard normal distribution).

For $z = -0.79$:

1. Look up the value in the Z-table for $z = -0.79$, or
2. Use a calculator to find the cumulative probability.

The cumulative probability for $z = -0.79$ is approximately 0.2148.

Thus, $P(z \leq -0.79) \approx 0.2148$

Would you like more details on how to interpret Z-scores or the normal distribution?

Here are 5 related questions to consider:

1. How do you find probabilities for other z-values?
2. What is the meaning of a Z-score in statistics?
3. How do you calculate Z-scores from raw data?
4. What is the difference between one-tailed and two-tailed probabilities?
5. How can you use the Z-table to find probabilities between two values?

Tip: Always remember that the total area under the normal distribution curve equals 1 (or 100%).