From the Washington Post website, we found final results of the 2012 presidential election. According to that site, Barack Obama received about 50% of the popular vote in the battleground state of Florida. Suppose that 10 Floridians who voted in 2012 are selected at random. Determine the approximate probability that
a. Exactly 5 voted for Obama.
b. 8 or more voted for Obama.
c. Even presuming that exactly 50% of the voters in Florida voted for Obama, why would the probabilities in parts (a) and (b) still be only approximately correct?