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To reduce costs, a medical lab will pool blood to conduct one single test for the...

To reduce costs, a medical lab will pool blood to conduct one single test for the prevalence of a relatively rare disease. Assume that 25 people had their blood drawn. Since the disease is relatively rare (only 2 in 100 people have the disease), the lab takes a portion of each person's blood and pools the blood together. Then the lab conducts one test of the pooled blood. If the test is negative, then the lab personnel can conclude that all 25 people are negative. If the pooled blood test is positive, then the lab personnel will have to go back to the original blood specimens and conduct a test on each one. Let the random variable, Y, represent the number of tests conducted for each group of 25 people. What is E(Y)?

Math   Statistics-And-Probability   
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