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 randome selected student is maleI given that the student is a nursing major. {b} Find the probability that a randome selected student is a nursing major, given that the student is male. Nursing Majors Hon-nursingmajors Total l:_I-. Hales 99 1033 1132 Female: T33 1631 2364 Total 832 21"14 35-46 {a} Find the probability that a randome selected student is maleI given that the student is a nursing major. The probability is D. {Rou nd to three decimal places as needed.) {b} Find the probability that a randome selected student is a nursing major, given that the student is male. The probability is E. [Red nd to three decimal places as needed.)