At a certain university, 20% of the students major in business. Of the business majors, 50% are males. Of all students at the university, 60% are males. If a student is selected at random from this university, what is the probability that this student:
(a) is a male majoring in business?
(b) is either a male or a business major?
(c) is a female not majoring in business?
(d) is a business major if the student is female?
(e) is a male if the student is not a business major?
Can someone please show the work at least in on of the questions? Your help and time is greatly appreciated!