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A mobile game designer is curious about people buying additional coins in the game to progress through the levels in the game. After a beta test including 100 players, the designer determined the probability that a randomly chosen beta tester played fewer than 3 hours per week and purchased fewer than 10 coins is 0.45. Data played fewer than 3 hours per played more than 3 hours per week week purchased fewer than 10 0.45 coins purchased at least 10 coins 1. Among the beta testers, 45 of them played fewer than 3 hours per week and purchased fewer than 10 coins. Describe the group of people represented by the remaining 55 beta testers. 2. The probability that a randomly chosen beta tester purchased fewer than 10 coins is 0.6. The probability that a randomly chosen beta tester spent greater than 3 hours per week on the game is 0.25. Use these values to complete the table. 3. A developer for another mobile game uses gems to help players advance faster. They are going to select a player at random to win 100 gems. From statistics the developer has collected, they know P(scored at least 500 points) = 0.3 and P(already bought gems | scored at least 500 points) = 0.05. What is the probability that the winner will have both scored at least 500 points and bought gems? Explain or show your reasoning.

A mobile game designer is curious about people buying additional coins in the game to progress through the levels in the game. After a beta test including 100 players, the designer determined the probability that a randomly chosen beta tester played fewer than 3 hours per week and purchased fewer than 10 coins is 0.45. Data played fewer than 3 hours per played more than 3 hours per week week purchased fewer than 10 0.45 coins purchased at least 10 coins 1. Among the beta testers, 45 of them played fewer than 3 hours per week and purchased fewer than 10 coins. Describe the group of people represented by the remaining 55 beta testers. 2. The probability that a randomly chosen beta tester purchased fewer than 10 coins is 0.6. The probability that a randomly chosen beta tester spent greater than 3 hours per week on the game is 0.25. Use these values to complete the table. 3. A developer for another mobile game uses gems to help players advance faster. They are going to select a player at random to win 100 gems. From statistics the developer has collected, they know P(scored at least 500 points) = 0.3 and P(already bought gems | scored at least 500 points) = 0.05. What is the probability that the winner will have both scored at least 500 points and bought gems? Explain or show your reasoning.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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A mobile game designer is curious about people buying additional coins in the game to progress through the levels in the game. After a beta test including 100 players, the designer determined the probability that a randomly chosen beta tester played fewer than 3 hours per week and purchased fewer than 10 coins is 0.45. Data played fewer than 3 hours per played more than 3 hours per week week purchased fewer than 10 0.45 coins purchased at least 10 coins 1. Among the beta testers, 45 of them played fewer than 3 hours per week and purchased fewer than 10 coins. Describe the group of people represented by the remaining 55 beta testers. 2. The probability that a randomly chosen beta tester purchased fewer than 10 coins is 0.6. The probability that a randomly chosen beta tester spent greater than 3 hours per week on the game is 0.25. Use these values to complete the table. 3. A developer for another mobile game uses gems to help players advance faster. They are going to select a player at random to win 100 gems. From statistics the developer has collected, they know P(scored at least 500 points) = 0.3 and P(already bought gems | scored at least 500 points) = 0.05. What is the probability that the winner will have both scored at least 500 points and bought gems? Explain or show your reasoning.
Transcribed Image Text:A mobile game designer is curious about people buying additional coins in the game to progress through the levels in the game. After a beta test including 100 players, the designer determined the probability that a randomly chosen beta tester played fewer than 3 hours per week and purchased fewer than 10 coins is 0.45. Data played fewer than 3 hours per played more than 3 hours per week week purchased fewer than 10 0.45 coins purchased at least 10 coins 1. Among the beta testers, 45 of them played fewer than 3 hours per week and purchased fewer than 10 coins. Describe the group of people represented by the remaining 55 beta testers. 2. The probability that a randomly chosen beta tester purchased fewer than 10 coins is 0.6. The probability that a randomly chosen beta tester spent greater than 3 hours per week on the game is 0.25. Use these values to complete the table. 3. A developer for another mobile game uses gems to help players advance faster. They are going to select a player at random to win 100 gems. From statistics the developer has collected, they know P(scored at least 500 points) = 0.3 and P(already bought gems | scored at least 500 points) = 0.05. What is the probability that the winner will have both scored at least 500 points and bought gems? Explain or show your reasoning.
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