Among students at one college are 3800 women and 3115 men. The following table p

Question

Among students at one college are 3800 women and 3115 men. The following table provides relative-frequency distibutions for subject major for males and females at the college.

Relative frequency

for women

Relative frequency

for men

Humanities

A 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) 0.113

B) 0.635

C) 0.205

D) 0.617

Major

Relative frequency

for women

Relative frequency

for men

Humanities

0.205 0.155 Science 0.291 0.313 Social Science 0.149 0.383 Other 0.355 0.149

Explanation / Answer

P(Female/Humanities) = P(Female AND Humanities) / P(Humanities)

= (0.205*3800) / (0.205*3800 + 0.155*3115)

= 0.617 Answer D

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