Question

1
type the correct answer in the box. use numerals instead of words.
the test to determine the presence of a certain virus in a pigeon is 97% accurate for a pigeon that has the virus and 99% accurate for a pigeon that does not have the virus. in a given population, 1.5% of the pigeons are infected.
do not round your answer.

the probability that a randomly selected pigeon gets an incorrect result is

Explanation:

Step1: Calculate incorrect for infected

Infected pigeons: 1.5% = 0.015. Inaccuracy for infected: 1 - 0.97 = 0.03. So incorrect for infected: \(0.015 \times 0.03\)

Step2: Calculate incorrect for non - infected

Non - infected pigeons: 1 - 0.015 = 0.985. Inaccuracy for non - infected: 1 - 0.99 = 0.01. So incorrect for non - infected: \(0.985 \times 0.01\)

Step3: Total incorrect probability

Add the two results: \(0.015\times0.03 + 0.985\times0.01\)
\(= 0.00045+0.00985\)
\(= 0.0103\)

Answer:

0.0103