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 433 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?

=

34.64

34.64

=

5.65

5.65

(Round to two decimal places asneeded.)

b. What is the probability that 45 or fewer students will go tocollege?

P(x45)=

. 9726

.9726 (Round to four decimal places asneeded)

c. What is the probability that exactly 45 students will go tocollege?

P(x=45)=

nothing

(Round to four decimal places asneeded)

d. What is the probability that 31 or more students will go tocollege?

P(x31)=

nothing

(Round to four decimal places asneeded)

e. What is the probability that between 45 and 50 students, inclusive, will go tocollege?

P(45x50)=

nothing

(Round to four decimal places asneeded)