Discuss Simpsons paradox in terms of the following probability inequalities. Pr(A|B and C) < Pr(A| not B

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Discuss Simpson’s paradox in terms of the following probability inequalities.

Pr(A|B and C) < Pr(A| not B and C),

TABLE 3.3. Graduate Admissions at Berkeley Male Female Dept. Admitted Rejected Admitted Rejected A 512 313 89 19 B 353 207 17 8 C 120 205 202 391 D 138 279 131 244 E 53 138 94 299 F 22 351 24 317 Pr(A|B and not C) < Pr(A| not B and not C), and Pr(A|B) > Pr(A| not B).

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