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4. Suppose that it is known that a certain disease occurs in 1.2% of the populat

ID: 3059247 • Letter: 4

Question

4. Suppose that it is known that a certain disease occurs in 1.2% of the population. Suppose also that we have a certain medical test to determine if person has this disease. The test produces a positive reading on 98.5% of those infected with the disease. Suppose that this test gives a positive result in healthy patients 2.5% of the time. Assume we have 100,000 random individuals that follow the above information perfectly a) Fill in the table. Has Disease Doesn't Have Disease Total Test Positive Test Negative Total 100,000 An Answer (Fraction or Decimal) b) Determine P(Have the Disease | Tested Positive)

Explanation / Answer

4. Suppose that it is known that a certain disease occurs in 1.2% of the population. Suppose also that we have a certain medical test to determine if person has this disease. The test produces a positive reading on 98.5% of those infected with the disease. Suppose that this test gives a positive result in healthy patients 2.5% of the time. Assume we have 100,000 random individuals that follow the above information perfectly a) Fill in the table. Has Disease Doesn't Have Disease Total Test Positive Test Negative Total 100,000 An Answer (Fraction or Decimal) b) Determine P(Have the Disease | Tested Positive)

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