Question 2 : A medical testing laboratory saves money by combining blood samples

Question

Question 2 : A medical testing laboratory saves money by combining blood samples for tests, so that only one test is conducted for several people. The combined sample tests positive if at least one person is infected. If the combined sample tests positive, then individual blood tests are performed. In a test for gonorrhea, blood samples from 30 randomly selected people are combined. Find the probability that the combined sample tests positive with at least one of the 30 people infected. Based on data from the Centers for Disease Control, the probability of a randomly selected person having gonorrhea is 0.00114. Round your answer to four decimal places.

Referring to Question #2, is it likely that such combined samples test positive? Will the company have to perform many individual blood tests?

Explanation / Answer

probabilty of gonorrhea =0.00114

hence probability that the combined sample tests positive with at least one of the 30 people infected =1-P(none have gonorrhea) =1-(1-0.00114)30 =1-0.966359=0.033641

2) the probability of that is very less and therefore company do not have to perform many individual blood tests

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.