Exam 6: Decision Making Under Uncertainty

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EMV criteria guarantee good outcomes.

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In making decisions, we choose the decision with the largest expected monetary value at each node.

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What is the probability that a randomly selected individual from this population earns less than $50,000 per year?

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In decision trees, probabilities are listed on probability branches. These probabilities are ____ events that have already been observed.

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Should the network purchase the report if it costs $160,000?

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The mean of the probability distribution is also called the:

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There are three types of nodes that are used with the decision trees. They are the:

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If a randomly selected individual is observed to earn less than $50,000 per year, what is the probability that this person is a woman?

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The following is a payoff table giving profits for various situations: States of Nature The following is a payoff table giving profits for various situations: States of Nature   The probabilities for states of nature A, B, and C are 0.3, 0.5, and 0.2 respectively. -What are the expected payoffs for the three alternatives? The probabilities for states of nature A, B, and C are 0.3, 0.5, and 0.2 respectively. -What are the expected payoffs for the three alternatives?

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If a randomly selected individual is observed to earn at least $50,000 per year, what is the probability that this person is a man?

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A buyer for a large sporting goods store chain must place orders for professional footballs with the football manufacturer six months prior to the time the footballs will be sold in the stores. The buyer must decide in November how many footballs to order for sale during the upcoming late summer and fall months. Assume that each football costs the chain $45. Furthermore, assume that each pair can be sold for a retail price of $90. If the footballs are still on the shelves after next Christmas, they can be discounted and sold for $35 each. The probability distribution of consumer demand for these footballs (in hundreds) during the upcoming season has been assessed by the market research specialists and is presented below. Finally, assume that the sporting goods store chain must purchase the footballs in lots of 100 units. A buyer for a large sporting goods store chain must place orders for professional footballs with the football manufacturer six months prior to the time the footballs will be sold in the stores. The buyer must decide in November how many footballs to order for sale during the upcoming late summer and fall months. Assume that each football costs the chain $45. Furthermore, assume that each pair can be sold for a retail price of $90. If the footballs are still on the shelves after next Christmas, they can be discounted and sold for $35 each. The probability distribution of consumer demand for these footballs (in hundreds) during the upcoming season has been assessed by the market research specialists and is presented below. Finally, assume that the sporting goods store chain must purchase the footballs in lots of 100 units.   -Generate a risk profile for each possible decision in this problem. Would this have any impact on your decision? -Generate a risk profile for each possible decision in this problem. Would this have any impact on your decision?

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The decision maker now has $10,000 and two possible decisions. For Alternative 1, she loses $500 for certain (x=$9,500). For Alternative 2, she loses $0 (x=$10,000) with probability 0.9 and loses $5,000 (x=$5,000) with probability 0.10. Which alternative maximizes the expected utility of her net wealth?

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The expected value of sample information (EVSI) is equal to:

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Prior probabilities are sometimes called likelihoods, the probabilities that are influenced by information about the outcome of an earlier uncertainty.

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Utility functions are mathematical functions that transform monetary values - payoffs and costs - into ____.

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Mathematically, the utility function for risk adverse individuals is said to be ____ and/or ____.

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Using a strategy region graph, determine what impact, if any, the insurance premium cost has on her decision. Briefly explain your answer Using a strategy region graph, determine what impact, if any, the insurance premium cost has on her decision. Briefly explain your answer

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A buyer for a large sporting goods store chain must place orders for professional footballs with the football manufacturer six months prior to the time the footballs will be sold in the stores. The buyer must decide in November how many footballs to order for sale during the upcoming late summer and fall months. Assume that each football costs the chain $45. Furthermore, assume that each pair can be sold for a retail price of $90. If the footballs are still on the shelves after next Christmas, they can be discounted and sold for $35 each. The probability distribution of consumer demand for these footballs (in hundreds) during the upcoming season has been assessed by the market research specialists and is presented below. Finally, assume that the sporting goods store chain must purchase the footballs in lots of 100 units. A buyer for a large sporting goods store chain must place orders for professional footballs with the football manufacturer six months prior to the time the footballs will be sold in the stores. The buyer must decide in November how many footballs to order for sale during the upcoming late summer and fall months. Assume that each football costs the chain $45. Furthermore, assume that each pair can be sold for a retail price of $90. If the footballs are still on the shelves after next Christmas, they can be discounted and sold for $35 each. The probability distribution of consumer demand for these footballs (in hundreds) during the upcoming season has been assessed by the market research specialists and is presented below. Finally, assume that the sporting goods store chain must purchase the footballs in lots of 100 units.   -Construct a decision tree to identify the buyer's course of action that maximizes the expected profit earned by the chain from the purchase and subsequent sale of footballs in the coming year. -Construct a decision tree to identify the buyer's course of action that maximizes the expected profit earned by the chain from the purchase and subsequent sale of footballs in the coming year.

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What is Bayes' Rule?

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FMV provides a rational way of making decisions:

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