Many employers provide workers with sick/personal days as well as vacation days. Among workers who have taken a sick day when they were not sick, 49% say that they needed a break! Suppose that a random sample of n = 12 workers who took a sick day is selected. Rounding 49% to p = .5, find the probabilities of the following events.

a. What is the probability that more than six workers say that they took a sick day because they needed a break?

b. What is the probability that fewer than five of the workers needed a break?

c. What is the probability that exactly 10 of the workers took a sick day because they needed a break?