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 197 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 BlueFem BrownFem GreenTotalMale Blue552427106Male Brown13211347Male Green1562344Total835163197d) 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.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 colorYes, people don't choose spouses based on eye color

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Asked Nov 15, 2019
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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 197 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 24 27 106
Male Brown 13 21 13 47
Male Green 15 6 23 44
Total 83 51 63 197

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.

  • 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
  • Yes, people don't choose spouses based on eye color

 

 
 
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Expert Answer

Step 1

The provided table is:

Female Female Female
Brown Green
Total
Blue
Male
27
106
55
24
Blue
Male
13
21
13
47
Brown
Male
15
23
44
Green
Total
83
51
63
197
help_outline

Image Transcriptionclose

Female Female Female Brown Green Total Blue Male 27 106 55 24 Blue Male 13 21 13 47 Brown Male 15 23 44 Green Total 83 51 63 197

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Step 2

(d)


The probability of a randomly chosen female respondent has blue eyes given that her partner has green eyes can be calculated as:

Female has blue eyes and
P
Her partner has green eyes
Female has blue eyes|Her
P
partner has green eyes
P(Her partner has green eyes)
15
197
44
197
= 0.3409
help_outline

Image Transcriptionclose

Female has blue eyes and P Her partner has green eyes Female has blue eyes|Her P partner has green eyes P(Her partner has green eyes) 15 197 44 197 = 0.3409

fullscreen
Step 3

Thus, the required proba...

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