Consider the following hypothetical survey results of 18- to 34-year-olds in a certain country, in response to the question "Are you currently living with your family?" Yes No Totals Women 94 157 251 Men 107 142 249 Totals 201 299 500 (a) Develop the joint probability table for these data and use it to answer the following questions. Women Men Totals Yes No Totals (b) What are the marginal probabilities? P(18 to 34-year-old woman) = P(18- to 34-year-old man) = P(responded yes) = P(responded no)= (c) What is the probability of living with family given you are an 18- to 34-year-old woman in this country? (Round your answer to four decimal places.) (d) What is the probability of living with family given you are an 18- to 34-year-old man in this country? (Round your answer to four decimal places.) (e) What is the probability of an 18- to 34-year-old in this country living with family? (f) If, in this country, 49.6% of 18- to 34-year-olds are male, do you consider this a good representative sample? Why?