Stay in school: In a recent school year in the state of Washington, there were 326,000 high school students. Of these, 157,000 were girls and 169,000 were boys. Among the girls, 70,000 dropped out of school, and among the boys, 10,400 dropped out. A student is chosen at random. Round the answers to four
decimal places.
(a) What is the probability that the student is female?
(b) What is the probability that the student dropped out?
(c) What is the probability that the student is female and dropped out?
(d) Given that the student is female, what is the probability that she dropped out?
(e) Given that the student dropped out, what is the probability that the student is female?