Exam 17: Making Decisions With Uncertainty

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When a variable can take on different values

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You want to run a difference-in-difference experiment with a price increase for the bacon cheeseburger item on your menu.If you are worried about the "representativeness" with your control group,a poor comparison menu item would be

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We worry that false negatives occur too often relative to false positives due to

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Half of all potential customers would pay $10 for your product but half would only pay $8 but you cannot tell them apart.Your marginal costs are $4.If you set the price at $10,the expected profit is:

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The expected value is

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Three possibilities have probabilities 0.5,0.4 and 0.1 and values $10,$20,and $30 respectively.The expected value is:

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You want to run a difference-in-difference experiment with a price increase for your lawn chairs in Miami.If you are worried about the "representativeness" of your control group,a good comparison city would be

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Half of all potential customers would pay $10 for your product but half would only pay $8 but you cannot tell them apart.Your marginal costs are $4.If you set the price at $8,the expected profit is:

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Heads and tails are equally likely but you win $3.00 on heads and lose $1.00 on tails

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Four possibilities have probabilities 0.4,0.2,0.2 and 0.2 and values $40,$30,$20,and $10 respectively.The expected value is:

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You can invest in either project A or B.Project A has value $150 with probability 0.1 and value $75 with probability 0.9.Project B has value $110 with probability 0.2 and value $65 with probability 0.8.

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You increase your advertising buy for your product in market A but not in market B.Sales in A rise from 1140 units per week to 1180 while sales in B fall from 1270 to 1230.The Difference-in-difference estimate of the effect of the increased advertising is:

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Half of all potential customers would pay $16 for your product but half would only pay $10 but you cannot tell them apart.Your marginal costs are $4.If you set the price at $16,the expected profit is:

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A pharmaceutical company executive has to decide whether to fund a new drug development project.For this project,a success would earn $10 million and a failure would cost $90 in lost profits.At what probability of expected success should she fund the project?

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You can invest $100,000 into either project A or B.You estimate that A succeeds with probability 0.5 in which case it doubles in value.If it fails,the scrap value is worth $50,000.Project B succeeds with probability 0.8,has value $150,000 if it succeeds and value of $30,000 if not.

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You can invest in either project A or B.Project A has value $150 with probability 0.1 and value $75 with probability 0.9.Project B has value $120 with probability 0.2 and value $75 with probability 0.8.

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You want to run a difference-in-difference experiment with a price increase for the bacon cheeseburger item on your menu.If you are worried about "leakage" with your control group,a good comparison menu item would be

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You experiment by offering free warranties for your product in market A not in market B.Sales in A rise from 240 units per week to 360 while sales in B rise from 410 to 430.The Difference-in-difference estimate of the effect of the free warranty is:

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Three possibilities have probabilities 0.4,0.4 and 0.2 and values $10,$20,and $30 respectively.The expected value is:

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A movie executive has to decide to fund a new movie project.For this project,a success would earn $20 million and a failure would cost $60 in lost profits.At what probability of expected success should he fund the movie?

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