According to a Pew poll, 67% of Americans believe that jury duty is part of good citizenship. Suppose 500 Americans are randomly selected. a. Find the probability that more than half believe that jury duty is part of good citizenship. b. In a group of 500 Americans, how many would we expect hold this belief? c. Would it be surprising to find that more than 450 out of the 500 American randomly selected held this belief? Why or why not?