Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at most, 15 students play a sport. Should a binomial probability density function or cumulative distribution function be used? Explain.

A binomial cumulative distribution function should be used because the question states exactly 32% of students play a sport.
A binomial probability density function should be used because the question states exactly 32% of students play a sport.
A binomial cumulative distribution function should be used because the question asks for determining the probability that, at most, 15 students play a sport.
A binomial probability density function should be used because the question asks for determining the probability that, at most, 15 students play a sport.
A binomial probability should not be used because the events are not independent of each other.