Question 2. [9 marks] Suppose that the Australian Bureau of Statistics (ABS) shares information on party affiliation for voting- age Australians. Suppose that 40% of young Australian adults (aged 18-35) identify with a political party, while 65% of mature Australian adults (aged 36 and over) identify with a political party. Let y be the event that a voting-age Australian is a young adult, and I be the event that a voting-age Australian identifies with a political party. (a) [3 marks] Suppose that the ABS believes that 36% of voting-age Australians are young adults. What is the probability that a randomly selected voting-age Australian is a young adult and identifies with a political party? (b) [3 marks] Consider, again, the belief of the ABS that 36% of voting-age Australians are young adults. What is the probability that a randomly selected voting-age Australian identifies with a political party? (c) [3 marks] Consider, again, the belief of the ABS that 36% of voting-age Australians are young adults. If a randomly selected voting-age Australian identifies with a political party, what is the probability that they are a young adult