4. A blood bank is screening a large population of donations for a particular virus. Suppose 5% of the blood
donations contain the virus. Suppose you randomly select 10 bags of donated blood to screen. You
decide to take a small amount from each of the bags and pool these all together into one sample. If that
sample shows signs of the virus, you then test all of the original 10 bags individually. If the combined
sample does not contain the virus, then you are done after just the one test.
a. Determine the expected number of tests to screen 10 bags of donated blood using this strategy.
b. Does this appear to be an effective strategy? Explain how you know.
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Home » Mathematics » 4. A blood bank is screening a large population of donations for a particular virus. Suppose 5% of the blood donations contain the virus. Suppose you randomly select 10 bags of donated blood to screen.