According to the 2011 Gallup daily tracking polls (www.gallup.com, February 3, 2012), Mississippi is the most conservative U.S. state, with 54.1% of its residents identifying themselves as conservative.

What is the probability that at least 60% of a random sample of 200 Mississippi residents identify themselves as conservative? Round your answer to four decimal places.

b) What is the probability that at least 100 but fewer than 115 respondents of a random sample of 200 Mississippi residents identify as conservative? Round your answer to four decimal places.

c) What is the probability that at least 58 respondents of a random sample of 100 Mississippi residents do not identify themselves as conservative? Round your answer to four decimal places.