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In: Statistics and Probability

# In a recent school year in the state of Washington, there were 319,000 high school students....

In a recent school year in the state of Washington, there were 319,000 high school students. Of these, 154,000 were girls and 165,000 were boys. Among the girls, 41,100 dropped out of school, and among the boys, 10,500 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?

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