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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 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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