Rick O'Shea is one of the two candidates running for the governor of a Midwestern state. Suppose Rick O'Shea has
52 percent of the votes among all the voters in the state. Just before the election a local TV news polls a random sample of 450 voters. What is the probability that the poll will predict Rick O'Shea losing the election? Also, What should the sample size be in order to reduce the probability of wrongly predicting Rick O'Shea's defeat to 0.10?