Develop a StdRandom client (with appropriate static methods of its own) to study the following problem: Suppose that in a population of 100 million voters, \(51 \%\) vote for candidate \(A\) and \(49 \%\) vote for candidate B. However, the voting machines are prone to make mistakes, and \(5 \%\) of the time they produce the wrong answer. Assuming the errors are made independently and at random, is a \(5 \%\) error rate enough to invalidate the results of a close election? What error rate can be tolerated?