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Probability for Six Extraverts

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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 extraverts?
B. What is the probability that one of your professors is an extravert?
C. What is the probability that at least two of your professors are extravets?
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?

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The expert examines the probabilities for six extraverts.

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