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 200 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 38 28 28 94 Brown 13 27 14 54 Green 15 10 27 52 Total 66 65 69 200 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. 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 2.36 Is it worth it?: Andy is always looking for ways to make money fast. Lately, he has been trying to make money by gambling. Here is the game he is considering playing: The game costs $2 to play. He draws a card from a deck. If he gets a number card (2-10), he wins nothing. For any face card ( jack, queen or king), he wins $3. For any ace, he wins $5, and he wins an extra $20 if he draws the ace of clubs. a) Andy's expected profit per game is: $ (round to the nearest cent) b) Would you recommend this game to Andy as a good way to make money? Explain. No, we expect Andy to lose money each time he plays this game Yes, Andy could be lucky and might earn money in the long-run playing this game