ppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $17. If you roll a 3, 4 or 5, you win $4. Otherwise, you pay $8. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate.  Probability Distribution Table X P(X)             b. Find the expected profit. $ (Round to the nearest cent) c. Interpret the expected value. If you play many games you will likely win on average very close to $2.17 per game. This is the most likely amount of money you will w

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Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $17. If you roll a 3, 4 or 5, you win $4. Otherwise, you pay $8.

a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. 

Probability Distribution Table

X P(X)
   
   
   

b. Find the expected profit. $ (Round to the nearest cent)

c. Interpret the expected value.

  • If you play many games you will likely win on average very close to $2.17 per game.
  • This is the most likely amount of money you will win.
  • You will win this much if you play a game.
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