1. **Problem Statement:** Find the probability that the annual salary of a randomly selected teacher is at least 85,000 pesos. 2. **Formula and Explanation:** We use the z-score formula to convert the raw score to a standard normal variable: $$z = \frac{x - \mu}{\sigma}$$ where $x$ is the raw score, $\mu$ is the mean, and $\sigma$ is the standard deviation. 3. **Given Data:** $$\mu = 75,000, \quad \sigma = 15,000, \quad x = 85,000$$ 4. **Calculate the z-score:** $$z = \frac{85,000 - 75,000}{15,000} = \frac{10,000}{15,000} = 0.67$$ 5. **Find the probability:** The probability that the salary is at least 85,000 is: $$P(X \geq 85,000) = P(Z \geq 0.67) = 1 - P(Z \leq 0.67)$$ From standard normal tables or a calculator: $$P(Z \leq 0.67) = 0.7486$$ 6. **Calculate the final probability:** $$P(Z \geq 0.67) = 1 - 0.7486 = 0.2514$$ 7. **Interpretation:** There is approximately a 25.14% chance that a randomly selected teacher earns at least 85,000 pesos annually.