A large number, N, of people are subjected to a blood test. This can be administ

Question

A large number, N, of people are subjected to a blood test. This can be administered in two ways: (1) Each person can be tested separately, in this case N tests are required, (2) the blood samples of k persons can be pooled and analyzed together. If this test is negative, this one test suffi ces for the k people. If the test is positive, each of the k persons must be tested separately, and in all, k+1 tests are required for the k people. Assume that the probability p that a test is positive is the same for all people, and that these events are mutually independent

Explanation / Answer

(a) is p^k and (b) is 1+k*p^k

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