Question: Suppose that 53% of all registered voters prefer Barack Obama to John McCain. (You can substitute the names of the current presidential candidates if you like.)
a. In a random sample of 100 voters, what is the probability that the sample will indicate that Obama will win the election (that is, there will be more votes in the sample for Obama)?
b. In a random sample of 100 voters, what is the probability that the sample will indicate that McCain will win the election?
c. In a random sample of 100 voters, what is the probability that the sample will indicate a dead heat (fifty-fifty)?
d. In a random sample of 100 voters, what is the probability that between 40 and 60 (inclusive) voters will prefer Obama?