Solution Found!
A test indicates the presence of a particular disease 90% of the time when the disease
Chapter 1, Problem 1.5-12(choose chapter or problem)
A test indicates the presence of a particular disease 90% of the time when the disease is present and the presence of the disease 2% of the time when the disease is not present. If 0.5% of the population has the disease, calculate the conditional probability that a person selected at random has the disease if the test indicates the presence of the disease.
Questions & Answers
QUESTION:
A test indicates the presence of a particular disease 90% of the time when the disease is present and the presence of the disease 2% of the time when the disease is not present. If 0.5% of the population has the disease, calculate the conditional probability that a person selected at random has the disease if the test indicates the presence of the disease.
ANSWER:Step 1 of 3
Bayes' theorem
Complement rule: