A test for the presence of a certain disease has probability 0.2 of giving a false-positive result (indicating that an individua
l has the disease when this is not the case) and probability 0.1 of giving a false-negative result. Suppose that 10 individuals are tested, 5 of whom have the disease and 5 whom do not. Let X be the number of positive readings that result.
a. Explain why X does not have a binomial distribution.
b. Find the probability that exactly 3 of the 10 test results is positive?
a. Explain why X does not have a binomial distribution.
b. Find the probability that exactly 3 of the 10 test results is positive?
1 answer:
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<u>Answer:</u>
The correct answer option is B. 2 = 3x + 10x^2
<u>Step-by-step explanation:</u>
We are to determine whether which of the given equations in the answer options can be solved using the following expression:
Here, and
.
These requirements are fulfilled by the equation 4 which is:
Rearranging it to get:
Substituting these values of in the quadratic formula: