1. For each of the following scenarios, determine whether the consumer's preferences are consistent with her being an expected utility maximiser. Justify your answer: if it is yes, explain why, and if it is not, provide a proof by counterexample. (a) Jenna prefers to catch the cold to catching the flu, and she prefers to catch the flu to catching COVID. Assume her preferences are transitive, so she also prefers to catch the cold to catching COVID. Jenna only cares about the worst thing that can happen to her. That is, when faced with a lottery, she identifies the worst disease she can catch with positive probability. When comparing two lotteries, she always prefers the one with the "better" worst disease. Whenever two lotteries have the same "worst" disease, she is indifferent between them.