Explain Bivariate and marginal and conditional probabilities.
The following data from a sample of 100 families display 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 didn't and in 35 families the son attended college while the father didn't.
1) Explain what is the probability a son attended college given that his father attended college?
2) Explain what is the probability a son attended college given that his father didn't attend college?
3) Explain- Is attending college by the son independent of whether his father attended college? (Yes or No)