Suppose that 53% of all registered voters prefer presidential candidate Smith to presidential candidate Jones. (You can substitute the names of the most recent presidential candidates.)
a. In a random sample of 100 voters, what is the probability that the sample will indicate that Smith will win the election (that is, there will be more votes in the sample for Smith)?
b. In a random sample of 100 voters, what is the probability that the sample will indicate that Jones 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 Smith?