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 2, 3, 4 or 5, you win $1. 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)

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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 2, 3, 4 or 5, you win $1. 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. S
(Round to the nearest cent)
c. Interpret the expected value.
You will win this much if you play a game.
O If you play many games you will likely win on average very close to $2.83 per game.
O This is the most likely amount of money you will win.
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 2, 3, 4 or 5, you win $1. 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. S (Round to the nearest cent) c. Interpret the expected value. You will win this much if you play a game. O If you play many games you will likely win on average very close to $2.83 per game. O This is the most likely amount of money you will win.
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