In 2016, more than 200,000 students took the AP Statistics exam. Of these students, 14% earned the highest score of 5. Find the probability that a random sample of 300 students who took the 2016 AP Statistics exam would indicate that 15% or higher scored a 5.

a) what is the mean of this distribution?

b) what is the standard deviation of this distribution?

c) What is the probability that 15% or higher earned a 5?