Task
QUESTION 1 Decision Analysis
Show all calculations to support your answers. Round all probability calculations to 2 decimal places.
A member of a group of medical practitioners is considering opening his own private medical practice. He estimates that if demand for his services is high he could realise a profit of $500,000. If demand is low he could lose $200,000.
(a) If the medical practitioner follows the criterion of regret what should he do? (2 marks)
His best guess is that there is a 50-50 chance that the practice would be successful.
(b) What should he do if he follows the EMV criterion? (2 marks)
(c) What is the expected value of perfect information? (1 mark)
A market research firm offers to perform a study of the market for a fee of $25,000. Their past experience enables them to make the following claims:
There is a 90% chance that they would successfully predict a favourable market (ie demand would be high) and an 80% chance they would successfully predict an unfavourable market.
(d) Using the market research experience, calculate the revised probabilities of demand given predictions of a favourable market and an unfavourable market. (4 marks)
(e) Based on these revised probabilities what should the medical practitioner do? Support your answer with EVSI and ENGSI calculations. (5 marks)
(f) Tversky and Kahneman describe three types of heuristics that people use in judgments under uncertainty. What do they mean by the term heuristics? Briefly describe the ones that they mention.
Give one example from your own experience of a bias that might result from each of these heuristics.
(6 marks)
QUESTION 2 Simulation
The State Opera Theatre gains significant revenue from ticket sales at each opera performed during the season. The sale of souvenir programs for all performances of each opera also adds to profitability.
Each program costs $1.60 to produce and sells for $4.00. Any programs unsold at the end of any opera are donated to a recycling…