A plant enthusiast is deciding to sell a plant to the online Facebook group "Plant Purge USA". There are two different strategies for doing so: - Selling the whole plant as is where the expected profit is $100. - Cutting the plant into multiple nodes and propagating them separately: - There is a 20% chance that the propagated plants will have high variegation, potentially generating an expected profit of $500. - 30% chance of moderate variegation, with expected profit of $50 - 40% chance of low variegation, with expected profit of $20 10% chance of low variegation, with expected profit of $10 Using the attached templates for questions (a)-(c): (a) Compute the expected value of the above tree and analyze the optimal decision strategy. (b) Compute the expected value of perfect information. (c) Compute the expected value of imperfect information, given: Page 2 of 5 A plant enthusiast is deciding to sell a plant to the online Facebook group "Plant Purge USA". There are two different strategies for doing so: - Selling the whole plant as is where the expected profit is $100. - Cutting the plant into multiple nodes and propagating them separately: - There is a 20% chance that the propagated plants will have high variegation, potentially generating an expected profit of $500. - 30% chance of moderate variegation, with expected profit of $50 - 40% chance of low variegation, with expected profit of $20 10% chance of low variegation, with expected profit of $10 Using the attached templates for questions (a)-(c): (a) Compute the expected value of the above tree and analyze the optimal decision strategy. (b) Compute the expected value of perfect information. (c) Compute the expected value of imperfect information, given: Page 2 of 5