According to the Census Bureau, 33.4% of Americans 25 years old and older had a college degree in 2016. 

a. Use the One Proportion applet to do a simulation (with at least 10,000 repetitions) to estimate the probability that in a random sample of 500 Americans, at most 150 have a college degree. 

b. From a random sample of 500 Americans, determine the probability that at most 150 have a college degree. (Use the Exact Binomial feature on the One Proportion applet to find this answer.) 

c. From a random sample of 500 Americans, what is the probability that at most 150 have a college degree? (Use the Normal Approximation to the binomial distribution to find this answer on the applet.)