A criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesirable behavior. The test is normed so that it has a mean of 140 and a standard deviation of 40.

1. What is the Z score for a test score of 200?

2. What percentage of scores falls between 100 and 160?

3. What percentile is a score of 172? Round to the nearest hundredth (2.31). Do not add % sign to your answer.

4. What is the probability of getting a score of 172 or less?

5. If your score is equal to the mean, your z-score will equal