3. The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. Nursing Majors Non-nursing majors Total Males Females Total 92 733 825 1056 1675 2731 1148 2408 3556 (a) Find the probability that a randomly selected student is male, given that the student is a nursing major N The probability is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. The probability is (Round to three decimal places as needed.)