Local law enforcement authorities are concerned about the growth of
Local law enforcement authorities are concerned about the growth of violent teenage gangs in the city. They estimate that 65% of juveniles arrested are gang members. If the crime involved is violent, the probability of gang membership jumps to 86%. Crime statistics show that 70% of all juveniles arrested are arrested for violent crimes.
a. If an arrest case involving a juvenile is chosen at random from police fles, what is the probability that the case involves a gang member in a violent crime?
b. If you learn that the case involves a gang member, what is the probability that the case involves a violent crime?
c. If you learn that the youth involved is not a gang member, what is the probability that the crime involved is violent?
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