Use Bayes' rule to find the indicated probability.Among students at one college are 3800 women and 3115 men. The following table provides relative-frequency distributions for subject major for males and females at the college. MajorRelative frequency Relative frequency for women for men Humanities 0.205 0.155Science 0.291 0.313 Social Science 0.149 0.383 Other 0.355 0.149A student is selected at random from the college. Determine the probability that the student selected is female given that he or she is a Humanities major.
A. 0.617
B. 0.113
C. 0.205
D. 0.635
Answer: A
Mathematics
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