A dentist sees about fifteen new patients per month (the rest of her patients are repeats). She knows that on average, over the past year, about half of her patients have needed at least one filling on their first visit.

a. What is the probability that she will see ten patients or more out of fifteen who needs fillings?

b. What is the probability that she will see five or fewer patients who need fillings

c What is the probability that she will see between seven and ten new patients who need fillings?