In the book guide to the development and use of the Myers-Briggs Type indicators by Myers and mcCully, 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 6 are extroverts ( round to three decimals) B) what is the probability that none of your professors is an extrovert(round to three decimals) C) what is the probability that at least two of your professors are extroverts ( round to three decimals) D) in a group of six professors selected at random what is the expected number of extroverts? E) what is the standard deviation of the distribution? ( round to two decimal places)