(2 points) To determine whether or not they have a certain disease, 182 people a
ID: 3059719 • Letter: #
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(2 points) To determine whether or not they have a certain disease, 182 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 13. The blood samples of the 13 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 13 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the desease); whereas, if the test is positive each of the 13 people will also be individually tested and, in all, 14 tests will be made on this group. Assume the probability that a person has the desease is 0.08 for all people independently of each other, and compute the expected number of tests necessary for the entire group of 182 people answer 110.92)^13+14*(0.08/0.92)3Explanation / Answer
here thre are total 182/13 =14 groups
expected number of test for one group =1*probability of test negative+14*probability of posiitve test
=1*(0.92)13+14*(1-(0.92)13)
therefore total number of required test =182*((0.92)13+14*(1-(0.92)13))~ 135
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