7.1Given a normal distribution withm=100 ands =10, if you select a sample ofn=25, what is the probability thatXis: A.less than 95? B.between 95 and 97.5? C.above 102.2? D.There is a 65% chance thatXis above what value? 7.16According toGMI Ratings' 2013 Women on Boards Report, the percentage of women on U.S. boards has increased marginally in 2009-2012 and now stands at 14%, well below the values for Nordic countries and France. A number of initiatives are underway in an effort to increase the representation. For example, a network of investors, corporate leaders, and other advocates, known as the 30% coalition, is seeking to raise the proportion of female directors to that number (30%) by 2015. This study also reports that 15% of U.S. companies have three or more female board directors. (Data extracted frombit.ly/13oSFem.) If you select a random sample of 200 U.S. companies, a. What is the probability that the sample will have between 12% and 18% U.S. companies that have three or more female board directors? b. The probability is 90% that the sample percentage of U.S. companies having three or more female board directors will be contained within what symmetrical limits of the population percentage? c. The probability is 95% that the sample percentage of U.S. companies having three or more female board directors will be contained within what symmetrical limits of the population percentage