100 people need to be tested for a certain disease.
100 people need to be tested for a certain disease. The chance that
a person has the disease is 0.1 for everyone, independent of each other. Instead of testing each person separately, the 100 people are grouped into groups of 10. The blood samples of the 10 people in each group are pooled and tested. If the test is negative, this one test suffiffiffices. If the test is positive (that is, at least one person in group has the disease), then each person in the group is tested individually, and so 11 tests in all will be made on this group. Let X be the number of tests made on each group. Write down the distribution table for X and compute its expected value.
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