The South Western Stingers (Carybdea xaymacana) body size (i.e excluding tentacles) is approximately Normally distributed with a mean () diameter of 2.8cm and standard deviation () of 0.1cm. In the following questions, assume that this distribution is exact.

a. What proportion of jellyfish bodies are between 2.5cm and 3cm? Your answer must include

i. a diagram

ii. an approximation

iii. a precise answer with workings.

b. What diameters give the quartiles of the distribution of body size for this population (i.e. the top and bottom 25%)?