Suppose a group of people were tested for a disease and asked about their smoking status. Consider these results: 10 people tested positive and said they were smokers, 15 people tested negative and said they were smokers, 14 people tested positive and were nonsmokers, and 21 tested negative and said they were nonsmokers. These are summarized in the following table: Smoker Nonsmoker Positive 10 14 Negative 15 21 Consider selecting a person at random from this group. Let A denote the event that the person is a smoker and B be the event that they tested positive. Are A and B independent?
Suppose a group of people were tested for a disease and asked about their smoking status. Consider these results: 10 people tested positive and said they were smokers, 15 people tested negative and said they were smokers, 14 people tested positive and were nonsmokers, and 21 tested negative and said they were nonsmokers. These are summarized in the following table: Smoker Nonsmoker Positive 10 14 Negative 15 21 Consider selecting a person at random from this group. Let A denote the event that the person is a smoker and B be the event that they tested positive. Are A and B independent?
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.15P
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