According to Catalyst, based on a survey of Fortune 500 companies, 14% of Executive Officer positions in 2012 were female. Answer the following questions based on a random sample of 12 corporate officers:
a. What is the probability that one corporate officer was female?
b. What is the probability that less than four corporate officers were female?
c. What is the probability that more than two corporate officers were female?
d. What are the mean and standard deviation for this distribution?
e. Construct a histogram for this distribution.