The office of admissions and records of a large western university released the accompanying information concerning the contemplated majors of its freshman class. (round your answers to three decimal places.) major % of freshmen choosing this major % of major that is female % of major that is male business 23 39 61 humanities 10 58 42 education 8 63 37 social science 5 60 40 natural sciences 10 56 44 other 44 48 52 (a) what is the probability that a student selected at random from the freshman class is a female? (b) what is the probability that a business student selected at random from the freshman class is a male? (c) what is the probability that a female student selected at random from the freshman class is majoring in business?