Part A. Let M be the event that a randomly selected FAU student is male and P(M)=0.53. Round solutions to three decimal places, if necessary. What is the probability that a randomly selected FAU student is female? P(F)=? Suppose two FAU students are selected at random and calculate the following probabilities. P(Both students are male) =? P(Both students are female)=? P(the first student is male and the second student is female)=? Part B The probability that a randomly selected FAU student is an athlete is 0.18. The probability that a randomly selected FAU student is a biology major is 0.14. The probability that a randomly selected FAU student is a biology major and an athlete is 0.13. Calculate the following probabilities. Round solutions to three decimal places, if necessary. Determine the probability that a randomly selected FAU student is a biology major, given the student is an athlete. P(biology major | athlete)=? Determine the probability that a randomly selected FAU student is an athlete, given the student is a biology major. P(athlete | biology major)=