CRIME RATES Data compiled by the Department of Justice on the number of people arrested in a certain year for serious crimes (murder, forcible rape, robbery, and so on) revealed that 89% were male and 11% were female. Of the males, 30% were under 18, whereas 27% of the females arrested were under 18.
a. What is the probability that a person arrested for a serious crime in that year was under 18?
b. If a person arrested for a serious crime in that year is known to be under 18, what is the probability that the person is female?