Consider the following example survey results of 18- to 34-year-olds in the United States, in response to the question "Are you currently living with your family?":

a. Develop the joint probability table for these data and use it to answer the following questions.
b. What are the marginal probabilities?
c. What is the probability of living with family given you are an 18- to 34-year-old man in the U.S.?
d. What is the probability of living with family given you are an 18- to 34-year-old woman in the U.S.?
e. What is the probability of an 18- to 34-year-old in the U.S. living with family?
f. If, in the U.S., 49.4% of 18- to 34-year-olds are male, do you consider this a good representative sample? Why?

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No Totals 247 053 Yes 0 Men Women Totals 92 198 106 141 161 302 500