The percentage of women in the work force has increased tremendously during the past few decades. Whereas

Question:

The percentage of women in the work force has increased tremendously during the past few decades. Whereas only 35% of all employees in the United States in 1970 were women, this percentage is now 49% (Bloomberg Business week, January 9–January 15, 2012). Suppose that currently 49% of all employees in the United States are women. Find the probability that in a random sample of 400 employees, the number of women is
a. Exactly 205
b. Less than 190
c. 210 to 220