Chapter 1 Further Work on Distributions

Further Work on Distributions

Learning Objectives
• 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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