Census data below show that 8% 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 715 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?

u=_____________

o=______________

(Round to two decimal places as needed)

b. What is the probability that 67 or fewer students will go to college?

P(x<67)= __________ (Round to four decimal places as needed)

c. What is the probability That exactly 67 students will go to college?

P(x=67)=__________ Round to four decimal places as neded

d. What is the probability that 70 or more students will go to college?

P(x>70)=_____________(Round to four decimal places as needed)

e. What is the probability that between 67 and 73 students, inclusive, will go to college?

P(67 < x < 73)=____________(Round to four decimal places as needed)