Census data show that 14?% of students in a certain country went to college or a trade school within a year of graduating from high school. A random sample of 495 high school graduates is selected. Use the normal approximation to the binomial distribution to complete parts a through e below.
a. What are the mean and standard deviation of this? distribution?
b. What is the probability that 80 or fewer students will go to? college?
c. What is the probability that exactly 80 students will go to? college?
d. What is the probability that 80 or more students will go to? college?
e. What is the probability that between 80 and 84 ?students, inclusive, will go to? college?