A newly launched leisure club at the Kaptai Lake offers jet-skis and canoes for hire for the entire day. On any given day, 60% of the visitors rent jet-skis, while the rest rent canoes. On one particular day, 20 people were waiting in line to rent either a jet-ski or a canoe.

a) What is the mean value and the standard deviation of the number of visitors who want to rent a jet-ski? [2 marks]

b) What is the probability that the number of people who want to rent a jet-ski is more than three standard deviations away from the mean value? [4 marks]

c) The club has 10 jet-skis and 15 canoes in total. If the 20 people waiting in line are served on a first-come-first-serve basis, what is the probability that all of them will be able to rent the water-craft of their choice? [4 marks]