The Committee for the Study of the American Electorate indicated that 60.7% of the voting-age voters cast ballots in the 2004 presidential election. It also indicated 30.8% of voting-age voters cast ballots for President Bush. A start-up company in San Jose, California, has 10 employees.
a. How many of the employees would you expect to have voted for President Bush?
b. All of the employees indicated that they voted in the 2004 presidential election. Determine the probability of this assuming they followed the national trend.
c. Eight of the employees voted for President Bush.
Determine the probability that at least 8 of the employees would vote for President Bush if they followed the national trend.
d. Based on your calculations in parts b and c, do the employees reflect the national trend? Support your answer with statistical calculations and reasoning.