Question: 1. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $5. If the die comes

1. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $5. If the die comes up 2 or 3, the player wins $2. For all other outcomes, the player loses $2. What is the expected amount that the player wins or loses? (Round to the nearest cent. Do not enter $ sign.)

2.A single share of a stock was purchased prior to the company's release of its quarterly report. There is a 48% chance that the company will meet the quarterly sales expectations for its new product two weeks from now, and the value of the stock will go to $370. Otherwise, the company will not meet the quarterly sales expectations, and the value of the stock will go down to $100. What is the expected value of the stock two weeks from now? (Round to the nearest dollar. Do not enter $ sign.)

3.A biased coin is flipped 5 times. In a single flip of the coin, the probability of heads is 1/3 and the probability of tails is 2/3. The outcomes of the coin flips are mutually independent. What is the probability the first two flips come up heads and the rest of the flips come up tails? (Round to four decimal places.)

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