Census data show that 14​% of students in a certain country went to college

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?

Here’s the SOLUTION

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