partner with blue eyes? (d) Does it appear that the eye colors of male respondents and their partners are independent? Explain your reasoning.

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Only answer part D

3.18 Assortative mating. Assortative mating is a nonrandom mating pattern where individuals with simi-
lar 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 204 Scandinavian
men and their female partners. The table below summarizes the results. For simplicity, we only include
heterosexual relationships in this exercise.
42
Partner (female)
Blue
Brown
Green
Total
Blue
78
23
13
114
Brown
19
23
12
54
Self (male)
Green
11
9
16
36
Total
108
55
41
204
(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 male respondent with blue eyes has a partner with blue
eyes?
(c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with
blue eyes? What about the probability of a randomly chosen male respondent with green eyes having a
partner with blue eyes?
(d) Does it appear that the eye colors of male respondents and their partners are independent? Explain
your reasoning.
Transcribed Image Text:3.18 Assortative mating. Assortative mating is a nonrandom mating pattern where individuals with simi- lar 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 204 Scandinavian men and their female partners. The table below summarizes the results. For simplicity, we only include heterosexual relationships in this exercise. 42 Partner (female) Blue Brown Green Total Blue 78 23 13 114 Brown 19 23 12 54 Self (male) Green 11 9 16 36 Total 108 55 41 204 (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 male respondent with blue eyes has a partner with blue eyes? (c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes? What about the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes? (d) Does it appear that the eye colors of male respondents and their partners are independent? Explain your reasoning.
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