At Gonda College of Nursing, 85% of incoming new nursing students are female and the rest are male. Recent records indicate that 70% of the entering female students will graduate with a BSN degree, while 90% of the male students will obtain a BSN degree. If an incoming nursing students is selected at random, find:

(a) P (student will graduate, given that student is female) [5 marks]

(b) P (student will graduate, and student is female) [5 marks]

(c) P (student will graduate, given student is male) [5 marks]

(d) P (student will graduate, and student is male). [5 marks]