A department at a school comprises 11 faculty and 5 administrators. They organize a committee of 6 people from the department. The committee members are randomly selected. Complete parts a through d. a. Determine the probability that the committee consists of two faculty and four administrators. (Type an integer or decimal rounded to four decimal places as needed.) b. Determine the probability that the committee consists of three faculty and three administrators. (Type an integer or decimal rounded to four decimal places as needed.) c. Determine the probability of selecting all faculty and no administrators. (Type an integer or decimal rounded to four decimal places as needed.) d. Calculate the mean and standard deviation for the distribution which defines selecting a faculty as a success. The mean of this distribution is (Type an integer or decimal rounded to three decimal places as needed.) The standard deviation of this distribution is. (Type an integer or decimal rounded to three decimal places as needed.)