The two-way frequency table shows the results of a survey of college students. Find the probability that a student's first class of the day is a humanities class, given the student is male. Round to the nearest thousandth.
First class of the day male female humanities 70 80
Science 50 80
other 60 70

Question

The two-way frequency table shows the results of a survey of college students. Find the probability that a student's first class of the day is a humanities class, given the student is male. Round to the nearest thousandth.
First class of the day male female humanities 70  80
Science 50   80
other 60   70

anonymous · Answer

Probability of students first class of the day is a humanities given that the student is male.

P( student male and first class of the day is humanities class) / P (student is male)

P( student male and first class of the day is humanities class) = 70 / (70+80+50+80+60+70)= 0.17

P (student is male) = (70+50+60)/(70+80+50+80+60+70)= 0.439

Answer = 0.17 / 0.439 = 0.387