1. **Problem Statement:** We want to determine if the conclusion that the fraction of Filipino young women taller than 69 inches is nearly zero is reliable given the normal distribution parameters. 2. **Given:** - Mean $\mu = 50.5$ - Standard deviation $\sigma = 2$ - Height threshold $x = 69$ 3. **Required:** Assess the reliability of the probability calculation $P(X > 69)$. 4. **Formula and Explanation:** The probability was calculated using the standard normal variable: $$Z = \frac{X - \mu}{\sigma}$$ which gave $Z = 9.25$. 5. **Interpretation:** A $Z$-score of 9.25 is extremely high, meaning the value 69 is far from the mean in terms of standard deviations. 6. **Reliability Considerations:** - The normal distribution is a good model for many natural phenomena but may not perfectly represent extreme tails. - For such extreme $Z$-scores, the probability is so small it is effectively zero. - In practice, data may not perfectly follow the normal distribution at extremes, but the conclusion that the fraction is nearly zero is reliable for practical purposes. 7. **Conclusion:** Yes, the conclusion that the fraction of Filipino young women taller than 69 inches is nearly zero is reliable based on the normal distribution model and the extremely high $Z$-score.