In a private company, employees tend to take sick days when they are not. If 40% of the employees that took a sick day say that they took the day because they were to lose those days. If we take a random sample of 16 employees from the company that took a sick day.
1. What is the probability that more than 8 employees took a sick day because they were to lose those days?
2. What is the probability that less than 10 employees took a sick day because they were to lose those days?
3. What is the probability that exactly 12 employees took a sick day because they were to lose those days?