Question

It is known that, on average, one hundred people (1 in 100) have a particular disease....

It is known that, on average, one hundred people (1 in 100) have a particular disease. A diagnostic test is devised to screen for this disease. A positive result is one that suggests that the person has the disease, and a negative result is one that suggests that the person does not have the disease. The possibility of errors in the test gives the following result probabilities:

  • For a person who has the disease, the probability of a positive result is 0.95.
  • For a person who does not have the disease, the probability of a negative result is 0.90.

a. Define the random events and their outcomes in this problem.

b. Draw a tree diagram based on the given information in this problem.

c. Calculate the probability of that a single person selected at random, who gets a negative result, will actually be suffering from the disease.

Math   Statistics-And-Probability   
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