1. **Problem statement:** Given a normal distribution $X \sim N(211, 17)$, find the first quartile (Q1) of $X$. 2. **Recall the definition:** The first quartile $Q1$ is the value below which 25% of the data falls, i.e., $P(X \leq Q1) = 0.25$. 3. **Standardize the variable:** Use the standard normal variable $Z = \frac{X - \mu}{\sigma}$, where $\mu = 211$ and $\sigma = 17$. 4. **Find the z-score for the 25th percentile:** From standard normal tables or using the inverse CDF, $z_{0.25} = -0.6745$. 5. **Use the transformation:** $$ Q1 = \mu + z_{0.25} \times \sigma = 211 + (-0.6745) \times 17 $$ 6. **Calculate:** $$ Q1 = 211 - 0.6745 \times 17 = 211 - 11.4665 = 199.5335 $$ 7. **Interpretation:** The first quartile of $X$ is approximately $199.53$. **Final answer:** $$Q1 \approx 199.53$$