The common fruit fly, Drosophila melanogaster, is the most studied organism in genetic research because it is small, easy to grow and reproduces rapidly. The length of the thorax (where the wings and legs attach) in a population of male fruit flies is approximately Normally distributed with mean 0.900 millimeters (mm) and standard deviation 0.068 mm.

Choose a male fruit fly at random. What is the probability that the fly you choose has a

thorax longer than 1mm? [2 marks]

What proportion of male fruit flies have thorax length between 0.8mm and 0.95mm?

[3 marks] (c) What is the length of the thorax in a population of male fruit flies, if only 1% of male fruit flies have this length or longer? [3 marks]

(d) What are lengths of thorax encompass the middle 90% of the normal distribution?