Past experience indicates that 20% of all freshman college students taking an intermediate algebra course withdraw from the class.

(1) Using the binomial distribution, find the probability that 6 or more of the 30 students taking this course in a given semester will withdraw from the class. (3 points)

(2) Using the normal approximation to the binomial, find the probability that 6 or more of the 30 students taking this course in a given semester will withdraw from the class. (3 points)

(3) Compare the results obtained in (1) and (2). Under what conditions will the normal approximation to this binomial probability become even more accurate? (3 points)