Question: The Wood County sheriff classifies crimes by age (in years) of the criminal and whether the crime is violent or nonviolent. As shown below, a total of 150 crimes were reported by the sheriff last year: [Note: Read Experiment 9 on pp18-9 of Week Four Mini Lecture One, before attempting to solve the following problems!]

a) What is the probability of selecting a case to analyze and finding it involved a violent crime? (Show work!)

b) What is the probability of selecting a case that involved a violent crime or an offender less than 20 years old? Which rule of addition did you apply? (Show work!)

c) Given a case selected for study involved violent crime, what is the probability that the offender was found to be less than 20 years of age? Which rule of addition did you apply? (Show work!)

d) Are the type of crime committed and age of the offender statistically independent? Why (Show work!)