Math Problem Statement
95% sensitivity has been reported in the screening of cancer patients from non-cancer patients. In the previous study, with a probability of 0.4, people in the community are suffering from this type of cancer. If the result is positive for a person, the probability that the person will get cancer
Solution
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Math Problem Analysis
Mathematical Concepts
Bayes' Theorem
Conditional Probability
Probability Theory
Formulas
P(Cancer | Positive) = (P(Positive | Cancer) * P(Cancer)) / P(Positive)
P(Positive) = P(Positive | Cancer) * P(Cancer) + P(Positive | No Cancer) * P(No Cancer)
Theorems
Bayes' Theorem
Suitable Grade Level
Grades 11-12
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