One poll found that more than 6 in 10 voters say they believe the United States is ready for a female president. The poll was conducted in February 2005 by the Siena College Research Institute and was sponsored by Hearst Newspapers. Assuming that the proportion is 0.6, what is the probability that another poll of 1125 registered voters conducted randomly will result in the following:

a. More than two-thirds believe the United States is ready for a female president.

b. Less than 58% believe the United States is ready for a female president.