A campus has 55% male students. Suppose 30% of the male students pick basketball as their favorite sports compared to 20% for females. If a randomly chosen student picks basketball as the student’s favorite sport, what is the probability the student is male?
This is question of probability finding using bayes theorem It is used to calculate probability of two competing statements now p(m) = .55 p(~m)= .45 now for basketball for male p(b|m)=.30 and for female p(b|~m)=.20 so by bayes theorem p(m|b)=p(b|m)*p(m)/(p(b|m)*p(m)+p(b|~m)*p(~m)) so answer is E (.55)(.30) / (.55)(.30) + (.45)(.20)
