The height of male students enrolling in first year at Monash College follows a Normal distribution with a mean of 163.64 cm and a standard deviation of 5.79 cm.

The height of male students enrolling in rst year at Monash College follows a Normal distribution with a mean of 163.64 cm and a standard deviation of 5.79 cm. (a) What proportion of randomly selected male students have a height between 158 cm and 168 cm? Draw a well-labelled diagram with the relevant area shaded. Show all working or marks will be deducted (b) Ifthere are 55 male students randomly selected, calculate the probability that their mean height is less than 162 cm. Show all working or marks will be deducted. (C) It was later realised that the male students height who enrolled in rst year at Monash College was actually skewed towards the left. Will this change your answers to parts (a) and (b)? Explain your