You work in Human Resource management for a high tech company and have been tasked with developing a personal development program for your employees. A recent study based on the Meyers Briggs assessment showed that approximately 70% of all marketing personnel are extroverts; whereas about 60% of all computer programmers are introverts.
- Suppose that you randomly select 10 marketing personnel to participate in a personal development program. What is the probability that more than half of them will be extroverts? What is the probability that all of them will be extroverts?
- Similarly, suppose that you randomly select 12 computer programmers to participate in a personal development program. What is the probability that at least 3 of them will be introverts?