# Further work on distributions – Further Maths Paper 2 Statistics

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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