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 Green1562344Total835163197a) 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.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 14, 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



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.

  • 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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The formula for finding probability is shown below:

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Number of favorable cases Probability= Total number of cases

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Step 3

a)

The probability that a randomly chosen male respondent or ...

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P(Male has blue eyes) + Male respondent or P(Female has blue eyes) - his partn er has blue eyes P(Both male and female have blue eyes) Using addition rule of probability P(4 or B) - Р(4) + P(B)- Р(4 and в) 106 83 55 197 197 197 =0.6802

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