Question

Uw intro/Instructions Assortative Mating: Assortative mating is a nonrandom 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 eye colors of 190 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 this exercise. (Round any numerical answers to 4 decimal places if possible.) Fem Brown Total Fem Blue 44 13 Male Blue Male Brown Male Green Total 98 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 NO, 1 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 5/1 Yes, people don't choose spouses based on eye color Get help Written Example

Answer 1

Fem Blue Fem. Fem creen Total Brown 98 33 лч 13 21 18 u Male Blue malue Brown male green - Total u5 u7 22 69 190 50 키 respondent or male in P/ Chosen aj partner has blue eyes) = ? Probability = P(male Blue) + P(Femablue) - P(beth) u sa6579 (probability = 0.6579 ) pl fem blue and mace im blue given male ble p( male blues uull90 - 98/190 euroa -0.44898 probabicity = 0.4490) given partner has brown ) = ? 19 P(Female blue make brown) probability - P(Female blue and Plmale brown)

Probability = 13 = (0.2889 given partner has green ever) =? do p(female blue Probability a p/ female blue and prace green) Plmace greens - 14/190 = u hot - ५/५० = 0. 29787 Pytskiy = 0.24 24 ) o mare one or not mare are correspondents and their partner not independent because under --Y