The problem asks for the area to the right of $z = 1.79$ under the standard normal curve. To find this value, follow these steps:

Step 1: Use the Z-table

The Z-table provides the cumulative probability (area) to the left of a given $z$-score.

For $z = 1.79$, the cumulative area to the left is approximately 0.9633 based on the Z-table.

Step 2: Find the area to the right

The total area under the standard normal curve is 1. Therefore, the area to the right of $z = 1.79$ is:

$\text{Area to the right} = 1 - \text{Area to the left}$

$\text{Area to the right} = 1 - 0.9633 = 0.0367$

Final Answer:

The area to the right of $z = 1.79$ is 0.0367 (rounded to four decimal places).

Would you like a detailed explanation on Z-tables or further assistance?

Related Questions:

1. What is the area to the left of $z = -1.79$?
2. How do you calculate areas for two-tailed probabilities in the normal distribution?
3. What is the probability for $-1.5 < z < 1.5$?
4. How does the shape of the standard normal curve help in probability estimations?
5. What is the significance of a $z$-score in hypothesis testing?

Tip: Always check if you're looking for the left-tail, right-tail, or both when using Z-tables!