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A tourist traveling with $10,000 in cash. At the hotel, he is informed that he has a one in two chance of being robbed during

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A tourist traveling with $10,000 in cash. At the hotel, he is informed that he has a one in two chance of being robbed during the night. The hotel has a safe, which costs $ 4000. Hence the tourist is facing the following gamble x = ($10,000,0$; 0.5, 0.5) or ending up with a net worth of $6000 with certainty. Assume that the tourist's utility function is U(W) = W1/4 What is the risk preference of the tourist? Risk neutral Risk averse Can't be determined Risk loving

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