"My department at school is comprised of 10 faculty and 6 administrators. I need to organize a committee of six people from the department. If I randomly select these committee members, determine the probability that the committee consists of the following: a. Two faculty and four administers b. Four faculty and two administers c. All faculty and no administrators d. Calculate the mean and standard deviation for the distribution which defines selecting a faculty as a success. e. Verify your results with Excel."