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?