Assorting Mating: Assortative mating is a non-random mating pattern where individuals with similar genotypes and/or phenotypes mate with one another more frequently than what would be expected under a random mating pattern. Researchers studying this topic collected data on the eye colors of 216 Scandinavian men and their female partners. The table below summarizes the results( rows represent male eye color while columns represent female eye color). For simplicity, we only include heterosexual relationships in these exercises

Fem Blue Fem Brown Fem Green Total Male Blue 55 25 33 113 Male Brown 17 27 9 53 Male Green 12 12 26 50 Total 84 64 68 216 a) What is the probability that a randomly chosen male respondent or his partner has blue eyes? b) What is the probability that a randomly chosen female respondent has blue eyes given that her partner has blue eyes? c) What is the probability that a randomly chosen female respondent has blue eyes given that her partner has brown eyes? d) What is the probability of a randomly chosen female respondent has blue eyes given that her partner has green eyes? e) Does it appear that the eye colors of male respondents and their partners are independent? Explain. O Yes, people don't choose spouses based on eye color O No, it is much more likely for a male with blue eyes to have a blue-eyed partner than it is for a male with any other eye color