There is a ball pit that has 1000 balls in it. According to the manager, 20% of the balls are red. a) Suppose that the balls are normally distributed throughout the ball pit. 100 balls are randomly selected from the pit and the proportion of red balls is p = 0.17. What is the probability that at least 20% of the balls are red?

b) Is the manager's claim that 20% of the balls in the ball pit are red accurate? Explain your reasoning.