6. (6 points) The following contingency table shows visitors to Mt. Baker ski resort sorted by age and the sport they were participating in on that day. 0-12 12-25 26-40 40+ Total Ski 34 60 83 41 218 Snowboard 20 93 50 19 182 Total 54 153 133 60 400 (a) What is the probability that a randomly chosen visitor is aged 12-25? (b) What is the probability that a visitor is a snowboarder given that they are aged 12-25? (c) Are P(age 26-40) and P(Skier) mutually exclusive? Why or why not