It is estimated that during any one hour period, an average of 10 Internet users visit the website of Sport-Equip Ltd, a company that sells sports equipment. Some of the users who visit the website end up buying sports equipment from the website while others are simply browsing in order to obtain product information.

1. (a) Clearly explain and justify which probability distribution you would use to describe the number of Internet users who visit the website of Sport-Equip Ltd in a one hour period. [There is no need to calculate any probabilities for this part of the question]
2. (b) What is the probability that during any half-hour period, there will be less than 3 visitors to the website?
3. (c) What is the probability that during any two-hour period, there will be more than 15 visitors to the website?
4. (d) If a user has just visited the website, find the probability that the website will have another visitor within the next 10 minutes. In your answer, state the probability distribution you have used and explain your choice.

1. It is estimated that 40% of Internet users who visit Sport-Equip Ltd's website buy a product from the company. If 100 users visit the website over a given period of time, find the probability that more than 50 of them will buy a product from the company. In your answer, state the probability distribution you have used and explain your choice.