Investment Payoff Table and Decision Criteria Quiz
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Questions and Answers

What is the expected value of Node C?

  • ₱27,500,000
  • ₱35,625,000 (correct)
  • ₱15,000,000
  • ₱11,250,000
  • What decision was made based on the decision tree in the text?

  • To maintain status quo (correct)
  • To liquidate assets
  • To diversify portfolios
  • To increase investments
  • When will a decision tree always yield the same decision and expected payoff?

  • When comparing different criteria
  • When facing multiple decisions
  • When only one decision needs to be made (correct)
  • When dealing with uncertain outcomes
  • In the context of the text, what is computed for the nodes B, C, and D?

    <p>Expected values</p> Signup and view all the answers

    What is the primary focus of a Decision Tree with Posterior Probabilities?

    <p>Utilizing positive and negative reports</p> Signup and view all the answers

    Which criterion leads to selecting the highest solution among circle nodes in a decision tree?

    <p>Expected value criterion</p> Signup and view all the answers

    What is the probability P(A) of rolling a number 1, 3, or 5 on a regular die?

    <p>1/3</p> Signup and view all the answers

    What is the probability P(C) of rolling a number 6 on a regular die?

    <p>1/6</p> Signup and view all the answers

    If a person purchases four raffle tickets, what is the expected value?

    <p>-P41.60</p> Signup and view all the answers

    What is the expected return for Investment A which pays an 8% return with a failure rate of 5%?

    <p>+₱2,600</p> Signup and view all the answers

    What type of investment is better based on the expected return: Investment A or Investment B?

    <p>Investment A</p> Signup and view all the answers

    If a regular die is rolled, what is the probability P(B) of getting a number 2 or 4?

    <p>1/3</p> Signup and view all the answers

    What is the formula for calculating the expected value of a discrete random variable?

    <p>$E(x) = k(P)$</p> Signup and view all the answers

    In Example 2, what is the outcome if a 2 or a 4 appears when a gambler tosses a die?

    <p>The gambler loses $9</p> Signup and view all the answers

    What is the fair price to pay for a raffle ticket that offers a first prize of $500,000 with a probability of 0.0001 and a second prize of $200,000 with a probability of 0.0005?

    <p>$150</p> Signup and view all the answers

    How is the concept of expected value important in characterizing the probability distribution of a discrete random variable?

    <p>It represents the theoretical average of the variable</p> Signup and view all the answers

    If a player stands to win an amount $k with probability $P, how is the player's expected value defined?

    <p>$k/P$</p> Signup and view all the answers

    How is the payoff table used in decision-making based on maximin, maximax, and minimax regret criteria?

    <p>To identify the worst payoff and select the best decision based on it (maximin)</p> Signup and view all the answers

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