6.19 Human Heights Human heights are one of the many biological random variables that can be modelled by the normal distribution. The average height of Cana- dian women aged 18 and older is 163 centimetres (cm), while the average height for men is 177 cm. Assume the standard deviation for the Canadian men is 8 cm.

a. What proportion of all men will be taller than 185 cm?

b. What is the probability that a randomly selected man will be between 170 and 185 cm tall?

c. The height of the current prime minister is 188 cm tall. Is this an unusual height?