company is in the public or private sector. The U. S. Department of Labor posted the 2007 mean salary for human resource managers employed by the federal government as $76,503. Assume the annual salaries for this type of job are normally distributed and have a standard deviation of $8850. a) What is the probability that a randomly selected human resource manager received over $100,000 in 2007? b) A sample of 20 human resource managers is taken and annual salaries are reported. What is the probability that the sample mean annual salary falls between $70,000 and $80,000?​