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?

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Chapter10: Statistics
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2.20 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 198 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.
(please round any numerical answers to 4 decimal places)
Blue
Brown
Green
Total
Blue
56
24
29
109
Brown
15
23
12
50
Green
11
23
39
Total
82
52
64
198
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?
e) Does it appear that the eye colors of male respondents and their partners are independent? (Yes
or No?)
Yes, people don't choose spouses based on eye color
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
Transcribed Image Text:2.20 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 198 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. (please round any numerical answers to 4 decimal places) Blue Brown Green Total Blue 56 24 29 109 Brown 15 23 12 50 Green 11 23 39 Total 82 52 64 198 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? e) Does it appear that the eye colors of male respondents and their partners are independent? (Yes or No?) Yes, people don't choose spouses based on eye color 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
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