1. According to the GMI Ratings 2012 Women on Boards Report, the percentage of women on U.S. boards increased only marginally in 2009 to 2011, and it now stands at 12.6%, well below the figures for Nordic countries, Canada, Australia, and France. A number of initiatives are under way to increase female representation on boards. For example, a network of investors, corporate leaders, and other advocates, known as the 30% Coalition, is seeking to raise the proportion of femaledirectors to that number (30%) by 2015. This study also reports that only 10% of U.S. companies have three or more female board directors. (Data extracted from bit.ly/zBAnYv.) If you select a random sample of 200 U.S. companies,

a. what is the probability that the sample will have between 8% and 12% U.S. companies that have three or more female board directors?

b. the probability is 90% that the sample percentage will be contained within what symmetrical limits of the population percentage?

c. the probability is 95% that the sample percentage will be contained within what symmetrical limits of the population percentage?