SOLVE

A student is interested in whether there is a relationship between gender and major at her college. She randomly sampled some self-identified men and women on campus and asked them if their major was part of the natural sciences, social sciences, or humanities. She placed the data in a contingency table: Natural Sciences] Social Sciences | Humanities Women 44 132 91 Men 92 101 48 a.) In general, what is the probability that a student is a man and is in the social sciences? b.) If you know a student is a woman, what is the probability that she is in the humanities? c.) If you know a student is in the natural sciences, what is the probability that he is a man? d.) If you know a student is a man, what is the probability he is not in the humanities