The Hate Crime Statistics Act of 1990 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 2007 reveals, based on a randomly selected sample of 300 incidents, that the mean number of victims in a particular type of hate crime was 1.28, with a standard deviation of 0.82. Assuming that the number of victims was normally distributed, answer the following questions.
a. What proportion of crime incidents had more than 2 victims?
b. What is the probability that there was more than 1 victim in an incident?
c. What proportion of crime incidents had less than 4 victims?