Suppose you play a die-rolling game in which a fair 6-sided die is rolled once. If the outcome of the roll (the number of dots on the side facing upward) is odd, you win as many dollars as the number you have rolled. Otherwise, you lose as many dollars as the number you have rolled. Let X be the profit of the game or the amount of money won or lost per roll. Negative profit corresponds to lost money. (a) What is your profit of the outcome if the roll is 5? $ 5 (b) Fill out the following probability distribution table. (Round your answers to two decimal places). Outcome Probability 1 1 0.166 -2 0.32 3 3 0.28 -4 -6 of of of of of 4. 6, 21
Suppose you play a die-rolling game in which a fair 6-sided die is rolled once. If the outcome of the roll (the number of dots on the side facing upward) is odd, you win as many dollars as the number you have rolled. Otherwise, you lose as many dollars as the number you have rolled. Let X be the profit of the game or the amount of money won or lost per roll. Negative profit corresponds to lost money. (a) What is your profit of the outcome if the roll is 5? $ 5 (b) Fill out the following probability distribution table. (Round your answers to two decimal places). Outcome Probability 1 1 0.166 -2 0.32 3 3 0.28 -4 -6 of of of of of 4. 6, 21
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 61E: Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38...
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Transcribed Image Text:-2
0.32
3
0.28
4
-4
6
-6
(c) Compute the expected value (the mean) of X. (Round your answer to the nearest hundredth.)
1
(d) Explain the meaning of the expected value of X in the context of this problem.
Profit or the amount of money won or lost per roll
(e) If you played this game 100 times, how much would you expect to win or lose?
of
Transcribed Image Text:A ohm.lumenlearning.com
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Suppose you play a die-rolling game in which a fair 6-sided die is rolled once. If the outcome of the
roll (the number of dots on the side facing upward) is odd, you win as many dollars as the number
you have rolled. Otherwise, you lose as many dollars as the number you have rolled. Let X be the
profit of the game or the amount of money won or lost per roll. Negative profit corresponds to lost
money.
(a) What is your profit of the outcome if the roll is 5?
$ 5
(b) Fill out the following probability distribution table. (Round your answers to two decimal places).
Outcome
Probability
1
0.166
2
-2
0.32
3
3
0.28
4
-4
-6
of
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