S1 January 2005 Q6
6. A discrete random variable is such that each of its values is assumed to be equally likely.
(a) Write down the name of the distribution that could be used to model this random variable. (1)
(b) Give an example of such a distribution. (1)
(c) Comment on the assumption that each value is equally likely. (2)
(d) Suggest how you might refine the model in part (a). (2)
| Scheme | Marks |
|---|---|
| (Discrete) Uniform | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| e.g. Tossing a fair dice / coin | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Useful in theory – allows problems to be modelled | B1 |
| not necessarily true in practice | B1 |
| (2) |
| Scheme | Marks |
|---|---|
| Carry out an experiment | B1 |
| to establish probabilities | B1 |
| (2) | |
| (6 marks) |