A physician is planning to conduct a blood test on all residents in a big area for a certain kind of flu. Suppose that the affected proportion of residents in this area is p(0
a) For the statistician's suggestion, what is the distribution of the number of tests needed for a group k residents? Define random variable, write down the probability mass function and state what kind of distribution it follows.
b) What is expected number of tests needed for a group of k residents?
c) If k=2 and p=0.1, can the statistician's suggestion reduce the total number of tests needed?