Question: Of all 3 to 5 year old children, 56% are enrolled in school. If a sample of the 500 children is randomly selected, find the probability that at least 250 will be enrolled in school. Use the normal approximation to the binomial to answer these questions.

a. Can the normal approximation to the binomial be sued to solve this? Why or why not?

b. find the mean and standard deviation

c. Rewrite the problem using the continuity correction factor and show the corresponding area under the curve.