It is reported that 45% of all college professors are extraverted. Suppose you have classes with six different professors.
A. What is the probability that all six are extroverts?
B. What is the probability that one of your professors is an extroverts?
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 extraverts? What is the standard deviation of the distribution?