The owner of Cups Caf would like to know which area of the business is the most successful - cakes or light lunches. She hires you to do some market research. From the research conducted you find that there is a 70% probability of a customer ordering a piece of cake.

4.1 What type of probability distribution is this? (1)

4.2 Calculate the probability that 0 out of the 10 customers will order a piece of cake (answer rounded off to four decimals). (2)

4.3 Calculate the probability that more than two out of the 10 customers will order a piece of cake (answer rounded off to two decimals).