7 Paul and Saul are playing a card game with 10 cards numbered 1, 2, 3,..., 9, 10. Paul picks a card. If he picks a 9 or 10, he wins $5 from Saul. If he picks a 1, he wins $10 from Saul. If he picks any other card, he pays Saul $3. X 9 or 10 1 2 through 8 P(x) Pay Off (F) 5 10 -3 a) Fill in the P(x) column with each probability. b) Fill in F* P(x) column. c) Compute (F* P(x) (This is Paul's expectation.) d) Which player has the advantage? F* P(x) Σ(F* P(x) =

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7 Paul and Saul are playing a card game with 10 cards numbered 1, 2, 3,..., 9, 10. Paul picks a card. If he picks a 9 or 10,
he wins $5 from Saul. If he picks a 1, he wins $10 from Saul. If he picks any other card, he pays Saul $3.
X
9 or 10
1
2 through 8
P(x)
Pay Off (F)
5
10
-3
a) Fill in the P(x) column with each probability.
b) Fill in the F* P(x) column.
c) Compute (F* P(x) (This is Paul's expectation.)
d) Which player has the advantage?
F* P(x)
Σ(F * P(x) =
Transcribed Image Text:7 Paul and Saul are playing a card game with 10 cards numbered 1, 2, 3,..., 9, 10. Paul picks a card. If he picks a 9 or 10, he wins $5 from Saul. If he picks a 1, he wins $10 from Saul. If he picks any other card, he pays Saul $3. X 9 or 10 1 2 through 8 P(x) Pay Off (F) 5 10 -3 a) Fill in the P(x) column with each probability. b) Fill in the F* P(x) column. c) Compute (F* P(x) (This is Paul's expectation.) d) Which player has the advantage? F* P(x) Σ(F * P(x) =
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