(6) The table below which shows the response of 1140 people -living in New York, Connecticut, New Jersey or Pennsylvania - to the survey question "How do you get to work?". | New York Connecticut New Jersey | Pennsylvania row total Drive 135 170 205 113 623 Public Transportation 255 35 72 50 412 Walk 35 30 18 22 105 column total 425 235 295 185 . 1140 (a) What is the probability that a person lives in Connecticut? What is the probability that a person does not live in Connecticut? (c) What is the probability that a person lives in New Jersey and they walk to work? (d) What is the probability that a person walks or takes public trans- portation to work? (e) What is the probability that a person lives in New York, given that they walk to work? (7) (a) The probability that Luis gets home by 5pm is .20. The probability that he will walk the dog, given that he is home by 5pm is .35. What is the probability Luis get home by 5pm and walks the dog? (b) At a high school, 45% of the students were on a school athletic team, 16% were in the school band, and 7% were on both. Compute the probability that a student selected at random was on a school athletic team or in the band