A decision maker who is considered to be a risk taker is faced with this set of probabilities and payoffs 20 50 80 35 25 550 30 d3 -10 35 For the lottery p (80) + (1 p) (-50), this decision maker has assessed the following indifference probabilities. Payoff 50 20 10 Probability 60 35 25 22 20 18 10 Rank the decision alternatives on the basis of expected value and on the basis of expected utility
Added by Bryan C.
Step 1
First, let's organize the information given: Decision alternatives: Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 93 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A new product has the following profit projections and associated probabilities: Profit Probability $150,000 .10 $100,000 .25 $ 50,000 .20 0 .15 -$50,000 .20 -$100,000 .10 a. Use the expected value approach to decide whether to market the new product. b. Because of the high dollar values involved, especially the possibility of a $100,000 loss, the marketing vice president has expressed some concern about the use of the expected value approach. As a consequence, if a utility analysis is performed, what is the appropriate lottery? c. Assume that the following indifference probabilities are assigned. Do the utilities reflect the behavior of a risk taker or a risk avoider? Profit Indifference Probability $100,000 .95 $ 50,000 .70 0 .50 -$50,000 .25 d. Use expected utility to make a recommended decision. e. Should decision maker feel comfortable with the final decision recommended by the analysis?
Dominador T.
For the payoff table below, the decision maker will use P(s1) = 0.15, P(s2) = 0.5, and P(s3) = 0.35. State of Nature Decision s1 s2 s3 d1 -5000 1000 10000 d2 -15000 -2000 40000 a. What alternative would be chosen according to the expected value? b. For a lottery having a payoff of 40000 with probability p and -15000 with probability (1 - p), the decision-maker expressed the following indifference probabilities. Payoff Probability 10000 0.85 1000 0.60 -2000 0.53 -5000 0.50 Let U(40000) = 10 and U(-15000) = 0 and find the utility value for each payoff. c. What alternative would be chosen according to expected utility? *Please show all work.
Patha S.
For each of the following scenarios, determine whether the decision maker is risk neutral, risk averse, or risk loving. a. A manager prefers a 20 percent chance of receiving $1,400 and an 80 percent chance of receiving $500 to receiving $680 for sure. b. A shareholder prefers receiving $920 with certainty to an 80 percent chance of receiving $1,100 and a 20 percent chance of receiving $200. c. A consumer is indifferent between receiving $1,360 for sure and a lottery that pays $2,000 with a 60 percent probability and $400 with a 40 percent probability.
Azat N.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD