2) 2160 people were asked whether or not they were more likely to buy a product if they knew it was made in the U.S. The people were categorized by their response (more likely, less likely, and just as likely) and by their age group. AGE GROUP 18-24 35-44 45-54 55 and above total More likely 238 329 360 402 1329 Less likely 22 6 22 16 66 Just as likely 282 201 164 118 756 Total 542 536 546 536 2160 a) What is the probability a person is more likely to buy, given that he or she is in the 35-44 age group? (5 points) b) What is the probability that a person is in the 35-44 age group, given that he or she is more likely to buy? (5 points)