(e) Suppose you were assigned to write an article for the student newspaper and you were given a quota (by the editor) of interviewing at least three extroverted professors. How many professors selected at random would you need to interview to be at least 84% sure of filling the quota? We must find the number of professors needed to be 84% sure that at least three of the interviewed professors are extroverted. In other words, we wish to determine the number of professors n that need to be interviewed to produce three successful interviews with an extrovert with overall probability 0.84. P r fillin the blanks