partner with blue eyes? (d) Does it appear that the eye colors of male respondents and their partners are independent? Explain your reasoning.
partner with blue eyes? (d) Does it appear that the eye colors of male respondents and their partners are independent? Explain your reasoning.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc8b2792-e619-4e71-a268-3a97560e5281%2F1919c95d-fd3f-49b3-88d9-dd72c7ff8f5e%2Fvh6o15l_processed.png&w=3840&q=75)
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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