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It was reported that approximately 45% of all university professors are extroverted. Suppose you have classes with 6 different professors. a) What is...

It was reported that approximately  45% of all university professors are extroverted. Suppose you have classes with 6 different professors.
a) What is the probability that all 6 are extroverts?
b) What is the probability that none of your professors are extroverts?
c) What is the probability that at least 2 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 distributions?

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