A test for the presence of a certain disease has probability .20 of giving a false-positive reading

Question:

A test for the presence of a certain disease has probability .20 of giving a false-positive reading (indicating that an individual has the disease when this is not the case) and probability .10 of giving a false-negative result. Suppose that ten individuals are tested, five of whom have the disease and five of whom do not. Let X = the number of positive readings that result.
a. Does X have a binomial distribution? Explain your reasoning.
b. What is the probability that exactly three of the ten test results are positive?
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: