1. The hate Crime Statistics Act requires the attorney general to collect national data about crimes that manifest evidence of prejudice based on race, religion, sexual orientation, or ethnicity, including the crimes of murder and non-negligent manslaughter, forcible rape, aggravated assault, simple assault, intimidation, arson, and destruction, damage, or vandalism of property. The hate crime data collected in 2018 reveal, based on a randomly selected sample of 500 incidents, that the mean number of victims of a particular type of hate crime was 1.5, with a standard deviation of 0.6. Assuming that the number of victims was normally distributed, answer the following questions.

1. What proportion of crime incidents had less than 1 victim?
2. What is the probability that there were less than 3 victims in an incident?
3. What proportion of crime incidents had between 2 and 3 victims?