Problem 6) One of the questions in the U.S. Census asks respondents is their age and who they live with. Probabilities for ages 15 to 44 years old and living arrangements from the past Census are given below. Age in Years 15-19 20-24 25-34 35-44 Alone 0.001 0.010 0.032 0.028 With spouse 0.001 0.021 0.151 0.208 With others (not a spouse) 0.168 0.139 0.149 0.092 a) Why is this a legitimate probability model? b) What is the probability that a randomly chosen respondent is a 15-to-19-year-old who lives with others (not a spouse)? c) What is the probability that a randomly chosen respondent lives with others (not a spouse)? d) What is the probability that a randomly chosen respondent does not live alone