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6. [10 pts) Approximately 1% of women suffer from breast cancer. A breast mammogram test for detecting breast cancer has the following characteristics: A person

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6. [10 pts) Approximately 1% of women suffer from breast cancer. A breast mammogram test for detecting breast cancer has the following characteristics: A person with the disease will test positive 80% of the time, while a person who does not have the disease will test negative 90.4% of the time. Note test positive means the test will detect a disease and test negative mean the test will not detect a disease. Answer the following questions: a} (5 pts) What is the probability that any randomly selected individual will test positive? b) (5 pts) If the test result for a certain individual is positive, what is the probability that the person has the disease

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