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Consider lottery X distributed as: ( -10, 0, 10; 1/3, 1/3, 1/3 ), and white noise distributed as: & =( -5, 5: 1/2, 12 ). Generate the lottery Y by attaching the white noise to the worst outcome of X (i.e. -10). Write the outcomes and probabilities of Y from the lowest to the highest values. Use fractions to write the probabilities (vgr. 1/3) Lottery Y: Outcomes Probabilities (Use fractions. vgr 1/3) Now generate lottery Z by attaching the white noise instead to the best outcome of X (i.c. 10). Write the outcomes and probabilities of Z from the lowest to the highest outcomes. Use fractions to write the probabilities (vgr. 1/3): Lottery Z: Outcomes Probabilities (Use fractions. vgr 1/3) Compute the expected values: E(Y) = E(Z) = Calculate the variances: Var(Y) = , and var(Z) = By the construction of lotteries Y and Z, we can say that any (risk averse, prudent) individual will prefer (Y. Z) because it was obtained from X by adding white noise to its best outcome