Census data show that 11%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 435high 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? =____ ? =____ ? (Round to two decimal places as needed.)

b. What is the probability that 59 or fewer students will go tocollege?

P(x59)=______ ?(Round to four decimal places asneeded)

c.What is the probability that exactly 59students will go tocollege?

P(x=59)equals=_____ ?(Round to four decimal places asneeded)

d. What is the probability that 41or more students will go tocollege

P(x41)equals=______?(Round to four decimal places asneeded)

e. What is the probability that between 59and 63students, inclusive, will go tocollege?

P(59 x 63)=_____ ?(Round to four decimal places asneeded)