In the book a guide to the development and use of the myers-
briggs type indicators by myers and mccaully, it was reported that approximately
45% of all university professors are extroverted. suppose you have
classes with six different professors.
(a) what is the probability that all six are extroverts?
(b) what is the probability that none of your professors is an extrovert?
(c) what is the probability that at least two of your professors are extroverts?
(d) in a group of six professors selected at random, what is the expected number
of extroverts? what is the standard deviation of the distribution?
(e) quota problem 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 90% sure of filling the quota?