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. played fewer than 3 hours per week played more than 3 hours per week purchased fewer than 10 coins 0.45 purchased at least 10 coins a. 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. b. 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. c. 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. played fewer than 3 hours per week played more than 3 hours per week purchased fewer than 10 coins 0.45 purchased at least 10 coins a. 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. b. 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. c. 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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