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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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