(d) In a group of three professors selected at random, what is the expected number of extroverts? (e)What is the standard deviation of the distribution? (Round your answer to two decimal places.) (f) Suppose you were assigned to write an article for the student newspaper and you were given a quota (by the editor) of interviewing at least three extroverted professors. How many professors selected at random would you need to interview to be at least 89% sure of filling the quota? (Enter the smallest number of professors needed.)

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Author:Amos Gilat
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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% of all university professors are extroverted. Suppose you have classes with three different professors.

(d) In a group of three professors selected at random, what is the expected number of extroverts?

(e)What is the standard deviation of the distribution?
(Round your answer to two decimal places.)

(f) Suppose you were assigned to write an article for the student newspaper and you were given a quota (by the editor) of interviewing at least three extroverted professors. How many professors selected at random would you need to interview to be at least 89% sure of filling the quota?
(Enter the smallest number of professors needed.)

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