Suppose we are to draw a random sample of three individuals from a large population in which

Question:

Suppose we are to draw a random sample of three individuals from a large population in which 37% of the individuals are mutants (as in Example 3.6.4). Let represent the Wilson-adjusted proportion of mutants in the sample. Calculate the probability that will be equal to
(a) 2/7
(b) 3/7
Is it possible to obtain a sample of three individuals for which is zero? Explain.