Conditional Probability and Dependence
The table shows the distribution of three operating systems on a university campus and the corresponding probability of a virus infection for each system. A researcher uses a probability tree to determine the overall probability that a randomly selected computer on campus is infected. Which of the following describes a potential error in this process?
| Operating System | Percentage | Virus Infection Rate |
|---|---|---|
| Windows | 60% | 3% |
| Apple | 30% | 2% |
| Linux | 10% | 1% |
Neglecting to consider the independence of events between selecting the operating system and virus infection.
Incorrectly using faulty weights for each operating system, leading to an erroneous overall virus probability.
Interpreting the given percentages as counts rather than probabilities.
Erroneously multiplying probabilities of dependent events even though they are independent.
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