To calculate the probability $P(z \geq 2.1)$ using the z-table, follow these steps:

1. Find the z-score on the z-table:

   • The z-table provides the area to the left of the z-score. First, find the value corresponding to $z = 2.1$ in the z-table.
   • The z-table value for $z = 2.1$ is approximately $0.9821$.

2. Convert this to the area to the right:

   • Since the z-table gives the area to the left, and we need $P(z \geq 2.1)$, which is the area to the right, subtract the table value from 1.
   • $P(z \geq 2.1) = 1 - 0.9821 = 0.0179$.

3. Convert the decimal to a percentage:

   • $0.0179 \times 100\% = 1.79\%$.

Thus, the probability $P(z \geq 2.1)$ is 1.79%.

Would you like more details or have any questions?

---

Relative Questions:

1. How would you calculate $P(z \leq 2.1)$ using the z-table?
2. What is the probability $P(-2.1 \leq z \leq 2.1)$?
3. How would you calculate $P(z \geq -2.1)$?
4. What is the probability $P(z \geq 1.5)$?
5. How do you interpret a very small probability like $P(z \geq 2.1)$ in a real-world scenario?
6. What does the z-score of 2.1 represent in a normal distribution?
7. How would you find $P(z \geq -0.5)$ using the z-table?
8. What steps would you take to calculate $P(z \geq 3.0)$?

Tip: For large positive z-scores, the area to the right becomes small, indicating rare events in a standard normal distribution.