6. Given a response \"We are equal,\" what is the probability that the response came from a husband? One explanation for the absence of women CEOs in the high-tech industry is a lack of mentoring opportunities for women. A recent survey of CEOs in that industry found that 80% were men. Moreover, out of 75% of all CEOs who had been mentored, only 15% were women. a) Using this information, create a joint probability distribution for gender (Men and Women) against mentoring status (Mentored and Not Mentored). Add the marginal probabilities. b) Are gender and mentoring independent? Explain. A :11 n 'l