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 196 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 54 27 29 110 Brown 16 25 13 54 Green 4 20 32 Total 78 56 62 196 a) What is the probability that a randomly chosen male respondent or his partner has blue eyes? 0.6837 b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue eyes? 0.2755 c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes? 0.0816 d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes? e) Does it appear that the eye colors of male respondents and their partners are independent? Explain. 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 O Yes, people don't choose spouses based on eve color
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 196 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 54 27 29 110 Brown 16 25 13 54 Green 4 20 32 Total 78 56 62 196 a) What is the probability that a randomly chosen male respondent or his partner has blue eyes? 0.6837 b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue eyes? 0.2755 c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes? 0.0816 d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes? e) Does it appear that the eye colors of male respondents and their partners are independent? Explain. 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 O Yes, people don't choose spouses based on eve color
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 196 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
54
27
29
110
Brown
16
25
13
54
Green
8
4.
20
32
Total
78
56
62
196
a) What is the probability that a randomly chosen male respondent or his partner has blue eyes?
0.6837
b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue
eyes? 0.2755
c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue
eyes? 0.0816
d) What is the probability of a randomly chosen male respondent with green eyes having a partner with
blue eyes?
e) Does it appear that the eye colors of male respondents and their partners are independent? Explain.
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
O Yes, people don't choose spouses based on eye color
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