Fem Blue Fem Brown Fem Green Total Male Blue 55 29 34 118 Male Brown Male Green 13 24 12 49 15 29 53 Total 83 62 75 220 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 female respondent has blue eyes given that her partner has blue eyes? c) What is the probability that a randomly chosen female respondent has blue eyes given that her partner has brown eyes? d) What is the probability of a randomly chosen female respondent has blue eyes given that her partner has green eyes?

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• Caught warning in the question code: Cannot use a scalar value as an array on line 30 in file /var/app/current/assess2/questions/QuestionHtmlGenerator.php(198) : eval()'d code
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 220 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.
(Round any numerical answers to 4 decimal places if possible.)
Fem Blue
Fem Brown
Fem Green
Total
Male Blue
55
29
34
118
Male Brown
13
24
12
49
Male Green
15
29
53
Total
83
62
75
220
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 female respondent has blue eyes given that her partner has
blue eyes?
c) What is the probability that a randomly chosen female respondent has blue eyes given that her partner has
brown eyes?
d) What is the probability of a randomly chosen female respondent has blue eyes given that her partner has
green 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
Transcribed Image Text:• Caught warming in the question code: Cannot use a scalar value as an array on line 28 in file /var/app/current/assess2/questions/QuestionHtmlGenerator.php(198) : eval('d code • Caught warning in the question code: Cannot use a scalar value as an array on line 30 in file /var/app/current/assess2/questions/QuestionHtmlGenerator.php(198) : eval()'d code 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 220 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. (Round any numerical answers to 4 decimal places if possible.) Fem Blue Fem Brown Fem Green Total Male Blue 55 29 34 118 Male Brown 13 24 12 49 Male Green 15 29 53 Total 83 62 75 220 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 female respondent has blue eyes given that her partner has blue eyes? c) What is the probability that a randomly chosen female respondent has blue eyes given that her partner has brown eyes? d) What is the probability of a randomly chosen female respondent has blue eyes given that her partner has green 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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