Maria plays the following game: There is a jar containing 2 gold coins, 2 silver coins, and 6 bronze coins.  She must select two coins.  She gets $2 for each gold coin she selects. She gets $1 for each silver coin she selects. She gets nothing for selecting bronze coins.  For example, if she picks one gold and one silver coin, she will get $3 total. If she picks one silver and one bronze coin, she gets $1 total. Let X be her winnings for this game. Fill in the pmf table (leave your answers here as fractions). x 0 1 2 3 4 p(x)           Compute the expected value. Write your answer as a decimal (as you would a dollar amount):

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Author:Amos Gilat
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Maria plays the following game: There is a jar containing 2 gold coins, 2 silver coins, and 6 bronze coins. 

  • She must select two coins. 
  • She gets $2 for each gold coin she selects.
  • She gets $1 for each silver coin she selects.
  • She gets nothing for selecting bronze coins. 

For example, if she picks one gold and one silver coin, she will get $3 total. If she picks one silver and one bronze coin, she gets $1 total. Let X be her winnings for this game.

  1. Fill in the pmf table (leave your answers here as fractions).
    x 0 1 2 3 4
    p(x)          
  2. Compute the expected value. Write your answer as a decimal (as you would a dollar amount): $  . 
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