Question 1. Probabilty (4 marks) (Exercise 4.32) 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?": Yes No Totals Men 106 141 247 Women Totals 92 161 253 198 302 500 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 US? d. What is the probability of living with family given you are an 18 to 34 year old woman in the US? e. What is the probability of an 18 to 34 year old in the US living with family? f. If, in the US, 49.4% of 18 to 34 year olds are male, do you consider this a good representative sample? Why?