Table 4 shows the probable field of study for 1500 freshman males and 1000 freshman females. Find the probability that a freshman selected at random
(a) Intends to major in business.
(b) Is female.
(c) Is a female intending to major in business.
(d) Is male, given that the freshman intends to major in social science.
(e) Intends to major in social science, given that the freshman is female.
Table 4

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Total Business Social Science Other 1500 Male 260 122 1118 768 1886 Female 102 130 1000 252 Total 362 2500