Question: 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%

In the bookA Guide to the Development and Use of the Myers-Briggs Type Indicatorsby Myers and McCaully, it was reported that approximately 45% of all university professors are extroverted. Suppose you have classes withfourdifferent professors.

(a) What is the probability that allfourare extroverts? (Round your answer to three decimal places.)

(b) What is the probability that none of your professors is an extrovert? (Round your answer to three decimal places.)

(c) What is the probability that at least two of your professors are extroverts? (Round your answer to three decimal places.)

(d) In a group offourprofessors selected at random, what is theexpected numberof extroverts? (Round your answer to two decimal places.)

extroverts

What is thestandard deviationof the distribution? (Round your answer to two decimal places.)

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