Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $18. If you roll a 4 or 5, you win $5. Otherwise, you pay $5. 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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Suppose that you are offered the following "deal." You roll
a six sided die. If you roll a 6, you win $18. If you roll a 4
or 5, you win $5. Otherwise, you pay $5.
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
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.
Transcribed Image Text:Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $18. If you roll a 4 or 5, you win $5. Otherwise, you pay $5. 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 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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