Exam 9: Decision Analysis

The head of operations for a movie studio wants to determine which of two new scripts they should select for their next major production.She feels that script #1 has a 70% chance of earning $100 million over the long run,but a 30% chance of losing $20 million.If this movie is successful,then a sequel could also be produced,with an 80% chance of earning $50 million,but a 20% chance of losing $10 million.On the other hand,she feels that script #2 has a 60 % chance of earning $120 million,but a 40% chance of losing $30 million.If successful,its sequel would have a 50% chance of earning $80 million and a 50% chance of losing $40 million.As with the first script,if the original movie is a "flop",then no sequel would be produced. -What is the expected payoff from selecting script #2?

The expected value of perfect information is:

What is the posterior probability of S2 given that the research predicts S2?

Utilities can be useful when monetary values do not accurately reflect the true values of an outcome

The maximax approach is an optimistic strategy

The equally likely criterion assigns a probability of 0 5 to each state of nature

Payoffs always represent profits in decision analysis problems

The Bayes' decision rule strategy is:

Payoff tables may include only non-negative numbers

What is his expected value of perfect information?

Given that the research is done,what is the expected payoff using Bayes' decision rule?

-The maximum likelihood strategy is:

The Bayes' decision rule strategy is:

The maximin approach involves choosing the alternative that has the "best worst" payoff

There is an option of paying $100 to have research done to better predict which state of nature will occur.When the true state of nature is S1,the research will accurately predict S1 60% of the time.When the true state of nature is S2,the research will accurately predict S2 80% of the time. -Given that the research is done,what is the joint probability that the state of nature is S2 and the research predicts S1?

The head of operations for a movie studio wants to determine which of two new scripts they should select for their next major production.She feels that script #1 has a 70% chance of earning $100 million over the long run,but a 30% chance of losing $20 million.If this movie is successful,then a sequel could also be produced,with an 80% chance of earning $50 million,but a 20% chance of losing $10 million.On the other hand,she feels that script #2 has a 60 % chance of earning $120 million,but a 40% chance of losing $30 million.If successful,its sequel would have a 50% chance of earning $80 million and a 50% chance of losing $40 million.As with the first script,if the original movie is a "flop",then no sequel would be produced. -What is the expected payoff for the optimum decision alternative?

What is the unconditional probability that the research predicts S1?

There is an option of paying $100 to have research done to better predict which state of nature will occur.When the true state of nature is S1,the research will accurately predict S1 60% of the time.When the true state of nature is S2,the research will accurately predict S2 80% of the time. -Given that the research is done,what is the joint probability that the state of nature is S1 and the research predicts S1?

The head of operations for a movie studio wants to determine which of two new scripts they should select for their next major production.She feels that script #1 has a 70% chance of earning $100 million over the long run,but a 30% chance of losing $20 million.If this movie is successful,then a sequel could also be produced,with an 80% chance of earning $50 million,but a 20% chance of losing $10 million.On the other hand,she feels that script #2 has a 60 % chance of earning $120 million,but a 40% chance of losing $30 million.If successful,its sequel would have a 50% chance of earning $80 million and a 50% chance of losing $40 million.As with the first script,if the original movie is a "flop",then no sequel would be produced. -What is the expected payoff from selecting script #1?

The maximin criterion is an optimistic criterion