People are competing to win a new car. The task, which only 1 in 5000 people can achieve, is to hit a golf ball into a cup 250 feet away. One hundred thousand people sign up to compete.
a. How many people will win, on average? What is the standard deviation of the number of people who will win?
b. What is the probability that exactly 18 people win?
c. What is the probability that between 18 and 20 people win?