Candidates should be able to:
- use the definition of the distribution function as a probability to deduce the form of a distribution function in simple cases, e.g. to find the distribution function for \(Y\), where \(Y = X^3\) and \(X\) has a given distribution;
- understand conditions under which a geometric distribution or negative exponential distribution may be a suitable probability model;
- recall and use the formula for the calculation of geometric or negative exponential probabilities;
- recall and use the means and variances of a geometric distribution and negative exponential distribution.
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