11 Independent In 2015 the Report on the UC Berkeley Faculty Salary Equity Study shows that 87 of the university s 222 assistant professors were women along with 137 of the 324 associate professors and 243 of the 972 full professors a What is the probability that a randomly chosen Berkeley professor of any rank is a woman b What is the conditional probability that a randomly chosen professor is a woman given that the person chosen is a full professor c Are the rank and sex of Berkeley professors independent How do you know