SOLUTION: 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

Question 1135876: 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 204 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 78 23 13 114
Brown 19 23 12 54
Green 11 9 16 36
Total 108 55 41 204

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?

e) Does it appear that the eye colors of male respondents and their partners are independent? Explain.

Screenshot of problem: https://prnt.sc/msbkgk

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

(b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue eyes?

P (A|B) = P (A ∩ B) / P (B) =

(c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes? What about the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes?
P (Female Blue | Male Brown) =
P (Female Blue | Male Green) =

(d) Does it appear that the eye colors of male respondents and their partners are independent? Explain your reasoning. The events are not independent because
P (Female Blue | Male Blue) does equal P (Female Blue)

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