Question 6.156

58. Women in Management. According to the U.S. Government Accountability Office, women hold 40% of the management positions in the United States.3 Suppose we take a random sample of 20 people in management positions.

  1. Find the probability that the sample contains exactly 10 women.
  2. Find the probability that the sample contains, at most, one woman.
  3. Find the probability that the sample contains between 8 and 10 women, inclusive.