[Steps Shown] A test for the presence of a certain disease has probability .05 of giving a false-positive reading (a positive test for a healthy person)


Question: A test for the presence of a certain disease has probability .05 of giving a false-positive reading (a positive test for a healthy person) and probability .03 of giving a false-negative result. Suppose that four individuals are tested, two of whom have the disease and two of whom do not. Let X = the number of positive readings.

  1. Does X have a binomial distribution? Explain your reasoning.
  2. What is the probability that at most two of the four test results are positive?

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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