1. **State the problem:** We are given a value 0.5160 and need to find the corresponding probability from the standard normal distribution. 2. **Understanding Z-scores and probabilities:** A Z-score represents how many standard deviations a value is from the mean in a standard normal distribution. The probability associated with a Z-score is the area under the curve to the left of that Z-score. 3. **Given value:** The value 0.5160 is already a probability, not a Z-score. 4. **Interpretation:** If 0.5160 is the probability, it means the area under the standard normal curve to the left of some Z-score is 0.5160. 5. **Find the Z-score corresponding to probability 0.5160:** Using the Z-table or inverse normal function, the Z-score for 0.5160 is approximately $Z = 0.04$. 6. **Summary:** - Probability given: 0.5160 - Corresponding Z-score: $0.04$ Therefore, the value 0.5160 corresponds to a Z-score of approximately $0.04$ in the standard normal distribution.