Consider a fictitious population of mice in which each animal's coat is either black (B) or gray (G) in color and is either wavy (W) or smooth (S) in texture (as in Exercise 10.3.1). Suppose a random sample of mice is selected from the population and the coat color and texture are observed; consider the accompanying partially complete contingency table for the data.

(a) Invent fictitious data sets that agree with the table and for which
(i) r{W | B} > r{W | G};
(ii) r{W | B} = r{W | G}
In each case, verify your answer by calculating the estimated conditional probabilities.
(b) For each of the two data sets you invented in part (a), calculate r{B | W} and r{B | S}.
(c) Which of the data sets of part (a) has r{B | W} > r {B | S} ? Can you invent a data set for which
r{W|B} > r{W|G} but r{B|W} r{B|S}
If so, do it. If not, explain why not.

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