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?

MATLAB: An Introduction with Applications
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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 214 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
62
22
28
112
Brown
12
19
18
49
Green
14
11
28
53
Total
88
52
74
214
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?
d) What is the probability of a randomly chosen male respondent with green eyes having a partner
with blue eyes?
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 214 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 62 22 28 112 Brown 12 19 18 49 Green 14 11 28 53 Total 88 52 74 214 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? d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes?
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