In the lecture, we covered the “pooled-testing†problem, namelywhen you do blood test on large number of people, it is moreefficient to pool k people’s blood together to do the test: if thispooled blood sample results in negative, then you know all these kpeople are negative, if this pooled blood sample results inpositive, then you need to re-test each one of them in this group.Therefore, for each group of k people, you either test once or k+1times. Suppose p is the rate of certain disease, in case p= 0.1, inthe class, we did the calculation 0f E(X), where x is the randomnumber of times you need to do the test. For this problem, if P=0.05 and N=150000, do the calculation of E(X)  for k =3,4, 5, 6, 7, 8, 10, 15, 25, 35, and then determine the best k.
