Question: Census data show that 67% of U. S. students went to college or a trade school within a year of graduating from high school. A

Census data show that 67% of U. S. students went to college or a trade school within a year of graduating from high school. A random sample of 20 high school graduates is selected. Use the normal approximation to the binomial distribution to answer the following:

a. What are the mean and standard deviation for this distribution?

b. What is the probability that less than 16 of the 20 students will go to college?

c. What is the probability that exactly 16 of the 20 students will go to college?

d. What is the probability that more than 14 of the 20 students will go to college?

e. What is the probability that 10, 11, 12, 13, or 14 of the 20 students will go to college?

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