Question: The heights of all people who are members of a university sports club are measured. There are 1000 people in total. They make up a quarter of the student population.
a) On average, science students make up 40% of a sports club's membership. What is the probability that a club of 20 people will have exactly 12 scientists?
b) What is the probability that the number of students joining sporting activities is less than or equal to 1050?