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Bivariate, marginal and conditional probabilities. The following data from a sample of 100 families show the record of college attendance by fathers and their oldest sons: in 22 families, both father and son attended college; in 31 families, neither father nor son attended college; in 12 families, the father attended college while the son did not; and, in 35 families, the son attended college while the father did not.
a) What is the probability the son attended college given that his father attended college?
b) What is the probability the son attended college given that his father did not attend college?
c) Is attending college by the son independent of whether his father attended college?
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