Census data 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 needed)