Suppose that fty-two percent of the residents of the city Eugene think that Arizona will defeat Oregon in their next college football game. Find an appropriate estimate of the probability that greater than 50 percent of a random sample of n people from Eugene are in favor of Arizona's win when:
1. n = 5.
2. n = 101.
3. n = 1001.
4. How large would n have to be to make this probability exceed 0:95?