Probability using Binomial distribution.
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 we have classes with six different professors
a. What is the possibility that all six are extroverts?
b. What is the possibility that none of the professors in an extrovert?
c. What is the likelihood that at least two of the 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 distribution?