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 (C)</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 (C)</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 (A)</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 (B)</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 (D)</p> Signup and view all the answers

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

<p>-P41.60 (B)</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 (D)</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 (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 (D)</p> Signup and view all the answers

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

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

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