Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $14. If you roll a 3, 4 or 5, you win $5. Otherwise, you pay $6. 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) 3333 of 5 of 14 of 1667 b. Find the expected profit. $ 1.00 x (Round to the nearest cent)

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Author:Amos Gilat
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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 $14. If
you roll a 3, 4 or 5, you win $5. Otherwise, you pay $6.
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)
-6
of
.3333
.5
14
1667
b. Find the expected profit. $ 1.00
X (Round to the nearest cent)
c. Interpret the expected value.
O If you play many games, on average, you will likely win, or lose if negative, close to this amount.
O You will win this much if you play a game.
O This is the most likely amount of money you will win.
d. Based on the expected value, should you play this game?
O Yes, since the expected value is 0, you would be very likely to come very close to breaking even if
DELL
esc
->
#3
2$
3
4.
6
W
e
y
5.
Transcribed Image Text:Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $14. If you roll a 3, 4 or 5, you win $5. Otherwise, you pay $6. 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) -6 of .3333 .5 14 1667 b. Find the expected profit. $ 1.00 X (Round to the nearest cent) c. Interpret the expected value. O If you play many games, on average, you will likely win, or lose if negative, close to this amount. O You will win this much if you play a game. O This is the most likely amount of money you will win. d. Based on the expected value, should you play this game? O Yes, since the expected value is 0, you would be very likely to come very close to breaking even if DELL esc -> #3 2$ 3 4. 6 W e y 5.
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