At a certain college, 45% of the students are female, and 17 % of the students major in civil engineering. Furthermore, 12% of the students both are female and major in civil engineering.
a) What is the probability that a randomly selected civil engineering major is female? Round your answer to 2 decimal places.
b) What is the probability that a randomly selected female student majors in civil engineering? Round your answer to 2 decimal places.