1. For each of the following, state with a reason whether the random variable in question is a discrete random variable or a continuous random variable.

(i) A cake recipe calls for a certain amount of flour to be used. The random variable $A$ is the number of cakes that can be made, following the recipe exactly each time, from a bag containing a random amount of flour.

(ii) A student cuts a one-metre length of rope into two pieces at a random point. The random variable $B$ is the difference in length between the two pieces of rope that result.

(iii) People are chosen at random from the UK population. The random variable $C$ is the age of a randomly selected person, measured from their date and time of birth.