Composite Sampling. Exercises 41 and 42 involve the method

Chapter 5, Problem 42

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Composite Sampling. Exercises 41 and 42 involve the method of composite sampling,whereby a medical testing laboratory saves time and money by combining blood samplesfor tests so that only one test is conducted for several people. A combined sample testspositive if at least one person has the disease. If a combined sample tests positive, thenindividual blood tests are used to identify the individual with the disease. STD Based on data from the Centers for Disease Control, the probability of a randomlyselected person having gonorrhea is 0.00114. In tests for gonorrhea, blood samples from 16 people are combined. What is the probability that the combined sample tests positive forgonorrhea? Is it unlikely for such a combined sample to test positive?

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