You are the marketing manager for an online retail store, RainbowFeet, that sells colourful shoes. Currently, for every 1000 people that visit your website you make 283 sales. You have decided to trial a new website design on 100 visitors to the website to see if the sales rate improves.

a) How should the 100 people be selected? Explain why this is important.

b) Assuming that the new website design has had no effect, what distribution best describes the number of sales out of 100?

c) Would it be reasonable to approximate the distribution in (b) with a Normal distribution? If so, what would you use for the mean and standard deviation?