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Question 1 Q16. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $4. If the

Question 1

Q16. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $4. If the die comes up 2 or 3, the player wins $1. 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.)

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Question 2

Q17. A single share of a stock was purchased prior to the company's release of its quarterly report. There is a 33% 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 $390. 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.)

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Question 3

Q18. 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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Question 4

Q19. A sample of consumers was surveyed about their purchasing habits, and the responses are summarized in the table below.

Shops online for grocery delivery. Shops at a physical store for groceries.
Lives within 10 miles of the nearest grocery store. 24 126
Lives more than 10 miles away from the nearest grocery store. 110 15

What is the probability a consumer lives within 10 miles of the nearest grocery store and shops at a physical store for groceries? (Round to four decimal places.)

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Question 5

Q20. A sample of consumers was surveyed about their purchasing habits, and the responses are summarized in the table below.

Shops online for grocery delivery. Shops at a physical store for groceries.
Lives within 10 miles of the nearest grocery store. 20 109
Lives more than 10 miles away from the nearest grocery store. 125 5

What is the probability a consumer shops at a physical store for groceries, given they live within 10 miles of the nearest grocery store? (Round to four decimal places.)

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Please no paper its hard to read paper in the background, and for the answer that are decimal has to be rounded to 4 decimal places

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