Question 5 (17 marks). Due to high gasoline prices, a study was done to investigate the relationship between size and manufacturer of newly purchased automobiles. The results are listed in the following contingency table Manufacturer 8 C D E Total Subcompact 1073 220 618 606 941 3458 Compact 52 133 95 97 150 527 Midste 2185 2044 1720 3021 3185 12155 Large 78 86 82 91 238 575 Total 3388 2483 2515 3815 4514 16715 A newly purchased automobile is chosen at random. What's the probability that it is (Please leave your answers in the fraction form.) (a) A subcompact? (b) Made by manufacturer A? (c) A mid-size automobile, given that it is made by manufacturer E? (d) A subcompact and made by manufacturer A? le) A large or made by manufacturer D? 1 A subcompact or is made by manufacturer A? (s) Mage by manufacturer D, given that it is a mid-size automobile? (h) Are events being a subcompact and made by manufacturer A mutually exclusive? 0 Are events being a subcompact and made by manufacturer A independent