(Solution) - Suppose we are to draw a random sample of five -(2025 Original AI-Free Solution)

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Suppose we are to draw a random sample of five indi-viduals from a large population in which 37% of the indi-viduals are mutants (as in Example 3.6.4). Let represent the Wilson-adjusted proportion of mutants in the sample.
(a) Use the results in Table 3.6.3 to determine the probability that P will be equal to
(i) 2/9 (ii) 3/9 (iii) 4/9 (iv) 5/9(v) 6/9 (vi) 7/9
(b) Display the sampling distribution of in a graph similar to Figure 9.1.1.