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According to Catalyst, based on a survey of Fortune 500 companies, 15% of Executive Officer positions in 2012 were female. Answer the following questions based

According to Catalyst, based on a survey of Fortune 500 companies, 15% of Executive Officer positions in 2012 were female. Answer the following questions based on a random sample of 12 corporate officers: (20 points)

a. What is the probability that one corporate officer was female?

b. What is the probability that less than 4 corporate officers were female?

c. What is the probability that more than 2 corporate officers were female?

d. What are the mean and standard deviation for this distribution?

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