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Exercise 13

Avg difficulty 2.5

There is a 15% chance that a shopper entering a computer store will purchase a computer, a 25% chance they will purchase a game/software, and there is a 10% chance they will purchase both a computer and a game/software.

  1. Create a contingency table for the information.

    Game/SoftwareNo Game/SoftwareTotal
    Computer
    No Computer
    Total
  2. What is the probability that a shopper will not purchase a computer and will not purchase a game/software?

  3. What is the probability that a shopper will purchase a computer or purchase a game/software?

  4. What is the probability that a shopper will purchase a game/software given they have purchased a computer?

  5. What is the probability that a shopper will purchase a game/software given they did not purchase a computer?

  6. Does it appear that purchasing a game/software depends on whether the shopper purchased a computer? Or are they independent? Use probability to support your claim.

Lee et al., Math in Society, §4.1 Contingency Tables, Exercise 13

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Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.