Lumen OHM A https://ohm.lumenlearning.com/assess2/?cid%3D48367&aid%3500530#/skip/5 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 6? %24 (b) Fill out the following probability distribution table. (Round your answers to two decimal places). Outcome Probability (c) Compute the expected value (the mean) of X. (Round your answer to the nearest hundredth.) (d) Explain the meaning of the expected value of X in the context of this problem. P Type here to search 立

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O Lumen OHM
A https://ohm.lumenlearning.com/assess2/?cid%3D48367&aid%33500530#/skip/5
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 6?
24
(b) Fill out the following probability distribution table. (Round your answers to two decimal places).
Outcome
Probability
(c) Compute the expected value (the mean) of X. (Round your answer to the nearest hundredth.)
(d) Explain the meaning of the expected value of X in the context of this problem.
Type here to search
立
Transcribed Image Text:O Lumen OHM A https://ohm.lumenlearning.com/assess2/?cid%3D48367&aid%33500530#/skip/5 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 6? 24 (b) Fill out the following probability distribution table. (Round your answers to two decimal places). Outcome Probability (c) Compute the expected value (the mean) of X. (Round your answer to the nearest hundredth.) (d) Explain the meaning of the expected value of X in the context of this problem. Type here to search 立
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