Census data show that 9%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 400high 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? =_____ ? =_____ ? (Round to two decimal places asneeded.)

b. What is the probability that 43 or fewer students will go to college ?

P(x43)=______ ?(Round to four decimal places asneeded)

c. What is the probability that exactly 43students will go tocollege?

P(x=43)=_____ ?(Round to four decimal places asneeded)

d. What is the probability that 38 or more students will go to college ?

P(x 38)=_____ ?(Round to four decimal places asneeded)

e.What is the probability that between 43 and 50 students, inclusive, will go to college ?

P(43x50)=______ ?(Round to four decimal places asneeded)