Question: The probability of a negative test on the mixture of 5 samples is (.95) 5 = .774. Thus, Table 2 gives the probabilities for the

The probability of a negative test on the mixture of 5 samples is (.95)⁵ = .774. Thus, Table 2 gives the probabilities for the number X of tests required.

(a) Find E(X ).

(b) If the laboratory uses this procedure on 200 blood samples (that is, 40 batches of 5 samples), about how many tests can it expect to run? Table 2 Blood Test Probabilities for Batches of 5 Samples Total tests

Table 2 Blood Test Probabilities for Batches of 5 Samples Total tests Probability Test of Mixture Negative 1 .774 Positive 6 .226

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