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Are the variables gender and degree choice independent? Why or why not? 4. Use the following table to calculate the probabilities requested. (4 points each)

Are the variables gender and degree choice independent? Why or why not?

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4. Use the following table to calculate the probabilities requested. (4 points each) STUDENT'S CHOICE Art Science Total degree degree Bay's 25 50 75 GROUP 20 75 Girls 55 Total 80 70 150 a. What is the probability of a randomly selected person from this study is a girl? b. What is the probability of a randomly selected person from this study being a girl and wants a science degree? c. What is the probability of a randomly selected person from this study being a girl or wanting a science degree? d. What is the probability of being a girl given that the person wants a science degree

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