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Find the probability for given data and find mean and standard deviation under Binomial distribution.

Personality Types We now has the tools to solve the Chapter Focus Problem. In the book A Guide to the Development and Use of the Myers-Briggs Type Indicators by Myers and McCaully, it was reported that approximately 45 percent of all university professors are extroverted. Suppose you have classes with six different professors.

a) What is the likelihood that all six are extroverts?
b) What is the possibility that none of your professors is an extrovert?
c) What is the possibility that at least two of your professors are extroverts?

In a group of six professors selected at random, what is the expected number of extroverts? What is the standard deviation of the distribution?

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