Question: Census data show that 14 % of students in a certain country went to college or a trade school within a year of graduating from

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 thisdistribution?

b. What is the probability that 80 or fewer students will go tocollege?

c. What is the probability that exactly 80 students will go tocollege?

d. What is the probability that 80 or more students will go tocollege?

e. What is the probability that between 80 and 84 students, inclusive, will go tocollege?

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