a) What proportion of crime incidents had more than three victims? b) What is the probability that there was more than one victim in an incident? c) What proportion of crime incidents had less than four victims?
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, sexualorientation, or ethnicity, including the crimes of murder and non-negligent manslaughter,forcible rape, aggravated assault, simple assault, intimidation, arson, and destruction, dam-age, or vandalism of property. The Hate Crime Data collected in 2005 reveals, based on arandomly selected sample of 500 incidents, that the mean number of victims in a particulartype of hate crime was 2.65, with a standard deviation of 1.22. Assuming that the numberof victims wasnormally distributed, answer the following questions.
a) What proportion of crime incidents had more than three victims?
b) What is the probability that there was more than one victim in an incident?
c) What proportion of crime incidents had less than four victims?
d) Construct and interpret an estimate of the population at the 95% level.
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