Question: Fathers revisited. Consider again the results of the poll about fathering discussed in Exercise. If we select two people at random from this sample,
a) what is the probability that both think fathers are better today?
b) what is the probability that neither thinks fathers are better today?
c) what is the probability that one person thinks fathers are better today and the other doesn't?
d) What assumption did you make in computing these probabilities?
e) Explain why you think that assumption is reasonable.
Exercise: Failing fathers? A Pew Research poll in 2007 asked 2020 U.S. adults whether fathers today were doing as good a job of fathering as fathers of 20-30 years ago. Here's how they responded:
If we select a respondent at random from this sample of 2020 adults,
a) what is the probability that the selected person responded "Worse"?
b) what is the probability that the person responded the "Same" or "Better"?