Question: 200 varsity basketball players are measured for height (let x = height). Assume that the distribution of the measurements is normal. The average height was found to be 190cm, and the standard deviation was 5 cm.

a) What is the probability that x is between 183cm and 197cm?

b) Approximately what is the 80th percentile for the height of varsity basketball players in this sample?

c) What is the probability that one player selected at random is less than 180cm tall?