Use the distributions from Exercise 1 to answer the following questions.
a. What is the probability that an individual student will be taller than 180 centimetres?
b. Suppose a random sample of 25 students is selected from the population. What is the probability that the mean height of these 25 students will be more than 180 centimetres?
c. Suppose a random sample of 40 students is selected from the population. What is the probability that the mean height of these 40 students will be more than 180 centimetres?
d. Why are your answers to parts a, b, and c of this question different?