1. **State the problem:** Match each Z-score with its corresponding cumulative probability (area under the standard normal curve to the left of the Z-score).
2. **Recall the standard normal distribution properties:**
- The mean is 0 and standard deviation is 1.
- The cumulative probability for Z=0 is 0.5 because the curve is symmetric.
- Use the Z-table to find probabilities for other Z-scores.
3. **Find probabilities for each Z-score:**
- For $Z=0$, cumulative probability is $0.5000$.
- For $Z=2.00$, from Z-table, cumulative probability is approximately $0.9772$.
- For $Z=-0.50$, cumulative probability is approximately $0.3085$.
- For $Z=1.5$, cumulative probability is approximately $0.9332$.
- For $Z=-1.96$, cumulative probability is approximately $0.0250$.
4. **Summary of matches:**
- $Z=0 \rightarrow 0.5000$
- $Z=2.00 \rightarrow 0.9772$
- $Z=-0.50 \rightarrow 0.3085$
- $Z=1.5 \rightarrow 0.9332$
- $Z=-1.96 \rightarrow 0.0250$
Z Score Probabilities C91Edb
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