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Levels Tought:
Elementary,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 353 Weeks Ago, 1 Day Ago |
| Questions Answered: | 20103 |
| Tutorials Posted: | 20155 |
MBA, PHD
Phoniex
Jul-2007 - Jun-2012
Corportae Manager
ChevronTexaco Corporation
Feb-2009 - Nov-2016
Question description
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Play now? Play later? |
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You can become a millionaire! That's what the junk mail said. But then there was the fine print: |
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If you act before midnight tonight, then here are you chances: 0.1% that you receive $1,000,000; |
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75% that you get nothing, otherwise you must PAY $5000. |
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But wait, there's more! If you don't win the million AND you don't have to pay on your first attempt then |
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you can choose to play one more time. |
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If you do, then we 20X your probability of winning big - yes, you will hava a 2% chance of |
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receiving $100,000 and 60% chance of winning $7500, but must pay $10,000 otherwise. |
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What is your expected outcome for attempting this venture? Solve this problem using |
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a decision tree and clearly show all calculations and the expected value at each node. |
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Answer these questions: |
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1) should you play at all? (5%) And if so, what is my expected (net) monitary value? (10%) |
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2) If you play and don't win at all on the first try (but don't lose money), should you try again? (5%) Why? (5%) |
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3) clearly show the decision tree (40%) and expected net monitary value at each node (25%)
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