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13.4.8+ I am a contestant on the TV show Remote Jeopardy, which works as follows. I...

13.4.8+ I am a contestant on the TV show Remote Jeopardy, which works as follows. I am first asked a question about Stupid Videos. If I answer correctly, I earn $100. I believe that I have an 80% chance of answering such a question correctly. If I answer incorrectly, the game is over, and I win nothing. If I answer correctly, I may leave with $100 or go on and answer a question about Stupid TV Shows. If I answer this question correctly, I earn another $300, but if I answer incorrectly, I lose all previous earnings and am sent home. My chance of answering this question correctly is .60. If I answer the Stupid TV Shows question correctly, I may leave with my “earnings” or go on and answer a question about Statistics. If I answer this question correctly, I earn another $500, but if I answer it incorrectly, I lose all previous earnings and am sent home. My chance of answering this question correctly is .40. Draw a decision tree that can be used to maximize my expected earnings. What are my expected earnings?

math   Statistics-And-Probability   
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Answer #1

-3rd Question Correct ans: 500$: 40%      

-2nd Question Correct ans: 300$: 60%

-Correct ans: 100$: 80% -3rd Question Correct ans: 0$: 60%   

1st Question:    -2nd Question incorrect ans: 0$: 40%

-Incorrect ans: 0$: 20%

Total Expected Earnings: 100$+300$+500$=900$ (Answer)

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