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 206 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. Blue Brown Green Total Blue 46 30 28 104 Brown 16 21 14 51 Green 12 11 28 51 Total 74 62 70 206 a) What is the probability that a randomly chosen male respondent or his partner has blue eyes? (please round to 4 decimal places) b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue eyes? (please round to 4 decimal places) c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes? (please round to 4 decimal places) d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes? (please round to 4 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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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 206 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.
Blue
Brown
Green
Total
Blue
46
30
28
104
Brown
16
21
14
51
Green
12
11
28
51
Total
74
62
70
206
a) What is the probability that a randomly chosen male respondent or his partner has blue eyes? (please round
to 4 decimal places)
b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue
eyes? (please round to 4 decimal places)
c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue
eyes? (please round to 4 decimal places)
d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue
eyes? (please round to 4 decimal places)
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 206 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. Blue Brown Green Total Blue 46 30 28 104 Brown 16 21 14 51 Green 12 11 28 51 Total 74 62 70 206 a) What is the probability that a randomly chosen male respondent or his partner has blue eyes? (please round to 4 decimal places) b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue eyes? (please round to 4 decimal places) c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes? (please round to 4 decimal places) d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes? (please round to 4 decimal places)
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