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1) $100 with probability 0.5 1. Consider a gamble X such that X = . $100 with probability 0.4 la) (a) Is this a fair gamble? 1|."'erify your answer 1b) [b] Suppose that Anh has an initial wealth of $100 and her utility function over money is a [to] = VIE 1Will she join this gamble? Justify your answer. 1c} [8) Suppose that Chris has an initial wealth of $0 and his utility function over money is u [w] = em. Will he join this gamble? Justify your answer. 1d) {d} Suppose that Beth has an initial wealth of $10000 and her utility function over money is aha} = VIE Will she join this gamble? Justify your answer and explain diEerenee from part {b}